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The ratio of the height of a bonsai tree to the height of a full-size ficus tree is 1:9.The bonsai ficus is 6 inches tall. What is the height of a full-size ficus? Show your work.

Verified Answer :

mariamikayla

\(1:9=6:x \\ x-the \ height \ of \ the \ ficus \\\\ x=\frac{6*9}{1} \\\\ \boxed{x=54 \ inches}\)

rabinshrestha41

Given,
the ratio of height of a bonsai tree to a full-size ficus tree is 1:9
Bonsi ficus tree = 6 inches
Let,
the height of full size ficus tree be "x"
Then,
Using ratio and proportion, we can write,
\(\frac{1}{9} = \frac{6}{x}\)

\(\frac{1}{9}*x = 6\)

\(x = 6*{ \frac{9}{1}}\)

\(x = 54\)

So, the height of the full-size ficus is 54 inches

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