Question

algebra solve each proportion. 8. $\frac{x}{4} = \frac{13}{52}$

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{x}{4}=\frac{13}{52}\), cross - multiplying gives us \(52x = 4\times13\).

Step2: Calculate the right - hand side

First, calculate \(4\times13 = 52\). So the equation becomes \(52x=52\).

Step3: Solve for x

Divide both sides of the equation \(52x = 52\) by 52. We have \(x=\frac{52}{52}\).

Step4: Simplify the fraction

\(\frac{52}{52}=1\).

Answer:

\(x = 1\)