1

Problem

Solving the Proportion:

\$6:x\$ = \$32:15\$

2

Step

Given Proportion

\$6:x\$=\$32:15\$

3

Step

First, convert the provided proportion into a fraction:

\$6/x\$ = \$(32)/(15)\$

4

Step

To solve the proportion, begin by cross-multiplying:

\$(15 \times 6)\$ = \$(32 \times x)\$ ⇒ 90 = 32x

5

Step

The value of x is:

x = \$(90)/(32)\$

x = 2.8125

6

Solution

The simplified proportion is x = 2.8125.

7

Sumup

Please summarize steps

Choices

8

Choice-A

This is the incorrect answer. It appears to be a close value, but the accurate result is 2.8125

Wrong 2.8142

9

Choice-B

It is correct because it accurately represents the solution to the given proportion

Correct 2.8125

10

Choice-C

This is the incorrect answer. It is a different value, and it does not match the result of the proportion

Wrong 2.4125

11

Choice-D

This is the incorrect answer. It is close, but the accurate value is 2.8125

Wrong 2.8152

12

Answer

Option

B

13

Sumup

Please summarize choices