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Find the missing term in the proportion: \( \frac{6}{7}=\frac{18}{x} \) \( x=\square \)

Ask by Robbins Gross. in the United States
Feb 20,2025

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Tutor-Verified Answer

Answer

\( x=21 \)

Solution

Solve the equation \( 6x=7*18 \). Solve the equation by following steps: - step0: Solve for \(x\): \(6x=7\times 18\) - step1: Multiply the numbers: \(6x=126\) - step2: Divide both sides: \(\frac{6x}{6}=\frac{126}{6}\) - step3: Divide the numbers: \(x=21\) The missing term in the proportion \( \frac{6}{7}=\frac{18}{x} \) is \( x=21 \).

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The Deep Dive

To solve for \( x \) in the proportion \( \frac{6}{7}=\frac{18}{x} \), you can use cross-multiplication. Multiply the numerator of the first fraction by the denominator of the second fraction and set it equal to the product of the denominator of the first fraction and the numerator of the second fraction: \[ 6 \cdot x = 7 \cdot 18 \] Now, calculate \( 7 \cdot 18 = 126 \): \[ 6x = 126 \] Next, divide both sides by 6 to isolate \( x \): \[ x = \frac{126}{6} = 21 \] So, \( x = 21 \).

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