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If 7 : x :: 35 : 45, then x = ?...

If `7 : x :: 35 : 45, then x = ?

A

11

B

15

C

9

D

5

Text Solution

AI Generated Solution

The correct Answer is:
To solve the proportion \( 7 : x :: 35 : 45 \), we can set it up as a fraction equation: 1. **Set up the proportion**: \[ \frac{7}{x} = \frac{35}{45} \] 2. **Cross-multiply**: \[ 7 \times 45 = 35 \times x \] This simplifies to: \[ 315 = 35x \] 3. **Solve for \( x \)**: To isolate \( x \), divide both sides by 35: \[ x = \frac{315}{35} \] 4. **Calculate the value of \( x \)**: \[ x = 9 \] Thus, the value of \( x \) is \( 9 \).
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