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Below is the solution:

10:4 = 6:x 
10/4 = 6/x 
10x = 24 
x = 2.4

The given cones are similar .Similar figures have sides in proportion.

Forming the proportion for similar sides in the two cones we have:

\(\frac{10}{3}.=\frac{3}{x}.\)

This is of the form :\(\frac{a}{b} = \frac{c}{d}.\)

We can cross multiply.

Cross multiplying we have:

10x=9

Dividing both sides by 10 we have

x=\(\frac{9}{10}.\)

x=0.90.