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Finding the Fourth Proportional to 6,780.13, 10,172.03 and 6,129.50

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Solution

The fourth proportional to 6,780.13, 10,172.03 and 6,129.50 is: 9,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.13 : 10,172.03 = 6,129.50 : x
  2. Step 2: Convert to fraction form
    6,780.13/10,172.03 = 6,129.50/x
  3. Step 3: Cross multiply
    6,780.13x = 10,172.03 × 6,129.50
  4. Step 4: Simplify right side
    6,780.13x = 62,349,376.38
  5. Step 5: Solve for x
    x = 62,349,376.38/6,780.13
  6. Step 6: Final answer
    x = 9,195.90

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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.