To determine the relationship indicated by "4 squares for every," we can express it as a ratio. If there are 4 squares, then based on the provided options to complete the sentence, we can analyze the relationships involving the circles.
Let's denote:
- Let \( S \) represent squares.
- Let \( C \) represent circles.
The ratio of squares to circles is given as \( S:C \). According to the statement, we have:
\[ S = 4 \]
Now, we know that this corresponds to certain quantities of circles. The options provided suggest different possible ratios:
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6 circles and 4 squares: This suggests a ratio of \( 4:6 \), which simplifies to \( 2:3 \). This works out because if we take scales, we can multiply the squares by \( 1.5 \) to get \( 6 \) and circles by \( 1.5 \) to get \( 9 \), maintaining the ratio.
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4 circles: This implies the ratio of \( 4:4 \), simplifying to \( 1:1 \), which does not correspond to the given ratio.
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6 circles: This implies the same as option 1, giving a ratio of \( 4:6 \) or \( 2:3 \).
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8 circles: This gives us the ratio of \( 4:8 \), which simplifies to \( 1:2 \), again not corresponding to the initial ratio.
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10 circles: This gives us the ratio of \( 4:10 \), simplifying to \( 2:5 \), which also does not correspond to the initial ratio.
Considering this analysis, the best option that reflects the original ratio of squares and circles is:
6 circles and 4 squares.
Thus, the complete sentence is: "There are 4 squares for every 6 circles."
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