Question

find the value of x in the proportion.
$\frac{25}{x} = \frac{5}{11}$
$x = \square$

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{25}{x}=\frac{5}{11}\), by the cross - multiplication property of proportions (if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\)), we have \(25\times11=5\times x\).

Step2: Simplify the equation

Calculate \(25\times11 = 275\) and \(5\times x=5x\), so the equation becomes \(275 = 5x\).

Step3: Solve for x

Divide both sides of the equation \(275 = 5x\) by 5. \(\frac{275}{5}=\frac{5x}{5}\), which simplifies to \(x = 55\).

Answer:

\(x = 55\)