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Finding the Fourth Proportional to 6,697.17, 10,036.12 and 3,769.29

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Solution

The fourth proportional to 6,697.17, 10,036.12 and 3,769.29 is: 5,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.17 : 10,036.12 = 3,769.29 : x
  2. Step 2: Convert to fraction form
    6,697.17/10,036.12 = 3,769.29/x
  3. Step 3: Cross multiply
    6,697.17x = 10,036.12 × 3,769.29
  4. Step 4: Simplify right side
    6,697.17x = 37,829,046.75
  5. Step 5: Solve for x
    x = 37,829,046.75/6,697.17
  6. Step 6: Final answer
    x = 5,648.51

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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.