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Let’s check out your problem:
Find the number that makes the ratio equivalent to
3
:
2
3:2
3
:
2
.
\newline
9:____
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Math Problems
Grade 6
Write an equivalent ratio
Full solution
Q.
Find the number that makes the ratio equivalent to
3
:
2
3:2
3
:
2
.
\newline
9:____
Identify Given and Target Ratios:
Identify the given ratio and the target equivalent ratio.
\newline
Given ratio:
9
:
_
9:\_
9
:
_
\newline
Target ratio:
3
:
2
3:2
3
:
2
Set Up Proportion:
Set up a proportion to find the missing number
x
x
x
that makes
9
:
x
9:x
9
:
x
equivalent to
3
:
2
3:2
3
:
2
.
\newline
Using the property of equivalent ratios,
9
x
=
3
2
\frac{9}{x} = \frac{3}{2}
x
9
=
2
3
.
Solve for Missing Number:
Solve for
x
x
x
by cross-multiplying.
3
x
=
18
3x = 18
3
x
=
18
x
=
18
3
x = \frac{18}{3}
x
=
3
18
x
=
6
x = 6
x
=
6
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