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Finding the Fourth Proportional to 10,677,079.80, 15,978,294.90 and 9,781,284.60

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Solution

The fourth proportional to 10,677,079.80, 15,978,294.90 and 9,781,284.60 is: 14,637,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677,079.80 : 15,978,294.90 = 9,781,284.60 : x
  2. Step 2: Convert to fraction form
    10,677,079.80/15,978,294.90 = 9,781,284.60/x
  3. Step 3: Cross multiply
    10,677,079.80x = 15,978,294.90 × 9,781,284.60
  4. Step 4: Simplify right side
    10,677,079.80x = 156,288,249,839,628.53
  5. Step 5: Solve for x
    x = 156,288,249,839,628.53/10,677,079.80
  6. Step 6: Final answer
    x = 14,637,733.61

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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.