Finding the Fourth Proportional to 10,677,097.80, 14,734,212.84 and 5,782,280.16
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Solution
The fourth proportional to 10,677,097.80, 14,734,212.84 and 5,782,280.16 is: 7,979,447.99
Step by Step Solution
- Step 1: Write the proportion equation
10,677,097.80 : 14,734,212.84 = 5,782,280.16 : x - Step 2: Convert to fraction form
10,677,097.80/14,734,212.84 = 5,782,280.16/x - Step 3: Cross multiply
10,677,097.80x = 14,734,212.84 × 5,782,280.16 - Step 4: Simplify right side
10,677,097.80x = 85,197,346,577,949.25 - Step 5: Solve for x
x = 85,197,346,577,949.25/10,677,097.80 - Step 6: Final answer
x = 7,979,447.99
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.