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Finding the Fourth Proportional to 10,839.40, 16,248.02 and 6,149.50

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Solution

The fourth proportional to 10,839.40, 16,248.02 and 6,149.50 is: 9,217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.40 : 16,248.02 = 6,149.50 : x
  2. Step 2: Convert to fraction form
    10,839.40/16,248.02 = 6,149.50/x
  3. Step 3: Cross multiply
    10,839.40x = 16,248.02 × 6,149.50
  4. Step 4: Simplify right side
    10,839.40x = 99,917,168.24
  5. Step 5: Solve for x
    x = 99,917,168.24/10,839.40
  6. Step 6: Final answer
    x = 9,217.96

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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.