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Finding the Fourth Proportional to 6,687.56, 10,028.28 and 3,400.04

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Solution

The fourth proportional to 6,687.56, 10,028.28 and 3,400.04 is: 5,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.56 : 10,028.28 = 3,400.04 : x
  2. Step 2: Convert to fraction form
    6,687.56/10,028.28 = 3,400.04/x
  3. Step 3: Cross multiply
    6,687.56x = 10,028.28 × 3,400.04
  4. Step 4: Simplify right side
    6,687.56x = 34,096,553.13
  5. Step 5: Solve for x
    x = 34,096,553.13/6,687.56
  6. Step 6: Final answer
    x = 5,098.50

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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.