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Finding the Fourth Proportional to 10,677,000.30, 15,978,175.65 and 9,781,205.10

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Solution

The fourth proportional to 10,677,000.30, 15,978,175.65 and 9,781,205.10 is: 14,637,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677,000.30 : 15,978,175.65 = 9,781,205.10 : x
  2. Step 2: Convert to fraction form
    10,677,000.30/15,978,175.65 = 9,781,205.10/x
  3. Step 3: Cross multiply
    10,677,000.30x = 15,978,175.65 × 9,781,205.10
  4. Step 4: Simplify right side
    10,677,000.30x = 156,285,813,156,475.81
  5. Step 5: Solve for x
    x = 156,285,813,156,475.81/10,677,000.30
  6. Step 6: Final answer
    x = 14,637,614.38

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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.