1

Problem

Solve the Proportion:

\$3 : 6\$ = \$3x : 4\$

2

Step

Given Proportion

\$3 : 6\$ = \$3x : 4\$

3

Step

First, convert the provided proportion into a fraction:

\$3/6\$ = \$(3x) / 4\$

4

Step

To solve the proportion, begin by cross-multiplying:

\$3 \times 4\$ = \$3x \times 6\$

⇒ 12 = 18x

5

Step

The value of x is:

18x = 12

\$x = \cancel(12)^2/\cancel(18)^3\$

\$x = 2/3\$

6

Solution

So, the simplified proportion is \$x = 2/3\$.

7

Sumup

Please summarize steps

Choices

8

Choice-A

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

Correct \$2/3\$

9

Choice-B

This is not correct; the correct value of x is \$2/3\$, not \$3/2\$

Wrong \$3/2\$

10

Choice-C

This is equivalent to \$1/3\$, not \$2/3\$, so it is incorrect

Wrong \$2/6\$

11

Choice-D

This is not correct; the correct value of x is \$2/3\$, not \$4/5\$

Wrong \$4/5\$

12

Answer

Option

A

13

Sumup

Please summarize choices