Question

1. \\(\frac{4}{3} = \frac{8}{x}\\)

Explanation:

Step1: Cross - multiply the proportion

Given the equation \(\frac{4}{3}=\frac{8}{x}\), cross - multiplying gives us \(4\times x = 3\times8\).

Step2: Simplify the right - hand side

Calculate \(3\times8 = 24\), so the equation becomes \(4x=24\).

Step3: Solve for \(x\)

Divide both sides of the equation \(4x = 24\) by 4. That is \(x=\frac{24}{4}\).

Step4: Calculate the value of \(x\)

\(\frac{24}{4}=6\).

Answer:

\(x = 6\)