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A tape diagram showing the ratio of ice cream to milk as 3:4 means that for every 3 parts of ice cream, there are 4 parts of milk.
To find out how many parts of ice cream are needed for 10 parts of milk, we can set up a proportion based on the given ratio:
\[
\frac{\text{ice cream}}{\text{milk}} = \frac{3}{4}
\]
Let \( x \) be the number of parts of ice cream needed for 10 parts of milk. We can set up the following equation:
\[
\frac{x}{10} = \frac{3}{4}
\]
Now, we can cross-multiply to solve for \( x \):
\[
4x = 3 \cdot 10
\]
\[
4x = 30
\]
\[
x = \frac{30}{4}
\]
\[
x = 7.5
\]
So, there are **7.5 parts of ice cream needed** for 10 parts of milk.