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Finding the Fourth Proportional to 10,978.70, 16,472.28 and 6,599.30

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Solution

The fourth proportional to 10,978.70, 16,472.28 and 6,599.30 is: 9,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.70 : 16,472.28 = 6,599.30 : x
  2. Step 2: Convert to fraction form
    10,978.70/16,472.28 = 6,599.30/x
  3. Step 3: Cross multiply
    10,978.70x = 16,472.28 × 6,599.30
  4. Step 4: Simplify right side
    10,978.70x = 108,705,517.40
  5. Step 5: Solve for x
    x = 108,705,517.40/10,978.70
  6. Step 6: Final answer
    x = 9,901.49

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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.