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Finding the Fourth Proportional to 6,114.87, 9,167.13 and 2,419.71

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Solution

The fourth proportional to 6,114.87, 9,167.13 and 2,419.71 is: 3,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.87 : 9,167.13 = 2,419.71 : x
  2. Step 2: Convert to fraction form
    6,114.87/9,167.13 = 2,419.71/x
  3. Step 3: Cross multiply
    6,114.87x = 9,167.13 × 2,419.71
  4. Step 4: Simplify right side
    6,114.87x = 22,181,796.13
  5. Step 5: Solve for x
    x = 22,181,796.13/6,114.87
  6. Step 6: Final answer
    x = 3,627.51

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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.