Finding the Fourth Proportional to 10,299,161.40, 15,448,742.10 and 5,764,198.20
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Solution
The fourth proportional to 10,299,161.40, 15,448,742.10 and 5,764,198.20 is: 8,646,297.30
Step by Step Solution
- Step 1: Write the proportion equation
10,299,161.40 : 15,448,742.10 = 5,764,198.20 : x - Step 2: Convert to fraction form
10,299,161.40/15,448,742.10 = 5,764,198.20/x - Step 3: Cross multiply
10,299,161.40x = 15,448,742.10 × 5,764,198.20 - Step 4: Simplify right side
10,299,161.40x = 89,049,611,405,084.22 - Step 5: Solve for x
x = 89,049,611,405,084.22/10,299,161.40 - Step 6: Final answer
x = 8,646,297.30
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.