To set up an equivalent ratio based on the information given, let's first define the ratio you want to express: \( \frac{4}{x} \).
You want to find an equivalent ratio, which we can determine in context. Assuming you want to set this up as an equivalent ratio to \( \frac{3}{9} \), we can establish the following relationship:
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Set up the equivalent ratio: \[ \frac{4}{x} = \frac{3}{9} \]
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We can cross multiply: \[ 4 \cdot 9 = 3 \cdot x \]
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This simplifies to: \[ 36 = 3x \]
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Now, solve for \( x \): \[ x = \frac{36}{3} = 12 \text{ miles} \]
Thus, the completed steps are:
- Equivalent ratios: \( \frac{4}{x} = \frac{3}{9} \)
- Cross multiply: \( 4 \cdot 9 = 3 \cdot x \) which results in \( 36 = 3x \)
- Solve for \( x \): \( x = 12 \) miles.