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Finding the Fourth Proportional to 6,150, 9,227.16 and 2,687.52

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Solution

The fourth proportional to 6,150, 9,227.16 and 2,687.52 is: 4,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150 : 9,227.16 = 2,687.52 : x
  2. Step 2: Convert to fraction form
    6,150/9,227.16 = 2,687.52/x
  3. Step 3: Cross multiply
    6,150x = 9,227.16 × 2,687.52
  4. Step 4: Simplify right side
    6,150x = 24,798,177.04
  5. Step 5: Solve for x
    x = 24,798,177.04/6,150
  6. Step 6: Final answer
    x = 4,032.22

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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.