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Finding the Fourth Proportional to 6,691.94, 10,024.26 and 3,171.28

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Solution

The fourth proportional to 6,691.94, 10,024.26 and 3,171.28 is: 4,750.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.94 : 10,024.26 = 3,171.28 : x
  2. Step 2: Convert to fraction form
    6,691.94/10,024.26 = 3,171.28/x
  3. Step 3: Cross multiply
    6,691.94x = 10,024.26 × 3,171.28
  4. Step 4: Simplify right side
    6,691.94x = 31,789,688.90
  5. Step 5: Solve for x
    x = 31,789,688.90/6,691.94
  6. Step 6: Final answer
    x = 4,750.44

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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.