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Original Question
What denominator for 21/3=4/9? would make these ratios proportional?(1 point)Question
What denominator for 21/3=49/ ?
would make these ratios proportional?(1 point)
would make these ratios proportional?(1 point)
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Answered by
GPT-4o mini
To find the denominator that would make the ratios \( \frac{21}{3} \) and \( \frac{49}{x} \) proportional, we can set up the equation:
\[
\frac{21}{3} = \frac{49}{x}
\]
First, we can simplify \( \frac{21}{3} \):
\[
\frac{21}{3} = 7
\]
Now we have:
\[
7 = \frac{49}{x}
\]
Next, we can cross-multiply to solve for \( x \):
\[
7x = 49
\]
Now, divide both sides by 7:
\[
x = \frac{49}{7} = 7
\]
Therefore, the denominator that would make the ratios proportional is \( 7 \).
\[
\frac{21}{3} = \frac{49}{x}
\]
First, we can simplify \( \frac{21}{3} \):
\[
\frac{21}{3} = 7
\]
Now we have:
\[
7 = \frac{49}{x}
\]
Next, we can cross-multiply to solve for \( x \):
\[
7x = 49
\]
Now, divide both sides by 7:
\[
x = \frac{49}{7} = 7
\]
Therefore, the denominator that would make the ratios proportional is \( 7 \).
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