Question

1. （图中内容）
2. \\(\frac{x}{4} = \frac{2}{3}\\)
3. \\(5.31 = \frac{p}{9.2}\\)

Explanation:

Problem 7: Solve \(\frac{x}{4}=\frac{2}{3}\)

Step 1: Cross - multiply

To solve for \(x\) in the proportion \(\frac{x}{4}=\frac{2}{3}\), we use the cross - multiplication property of proportions. If \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). So, \(x\times3=4\times2\).
\(3x = 8\)

Step 2: Solve for \(x\)

Divide both sides of the equation \(3x = 8\) by 3 to isolate \(x\).
\(x=\frac{8}{3}\approx2.67\)

Problem 9: Solve \(5.31=\frac{p}{9.2}\)

Step 1: Multiply both sides by 9.2

To solve for \(p\) in the equation \(5.31=\frac{p}{9.2}\), we multiply both sides of the equation by 9.2. This is based on the property that if \(a=\frac{b}{c}\), then \(b = a\times c\) (where \(c
eq0\)).
\(p=5.31\times9.2\)

Step 2: Calculate the product

Calculate \(5.31\times9.2\).
\(5.31\times9.2=(5 + 0.31)\times9.2=5\times9.2+0.31\times9.2 = 46+2.852=48.852\)

Answer:

for Problem 7:
\(x = \frac{8}{3}\) (or approximately \(2.67\))