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Finding the Fourth Proportional to 10,773.10, 16,138.05 and 6,150.70

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Solution

The fourth proportional to 10,773.10, 16,138.05 and 6,150.70 is: 9,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.10 : 16,138.05 = 6,150.70 : x
  2. Step 2: Convert to fraction form
    10,773.10/16,138.05 = 6,150.70/x
  3. Step 3: Cross multiply
    10,773.10x = 16,138.05 × 6,150.70
  4. Step 4: Simplify right side
    10,773.10x = 99,260,304.14
  5. Step 5: Solve for x
    x = 99,260,304.14/10,773.10
  6. Step 6: Final answer
    x = 9,213.72

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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.