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Finding the Fourth Proportional to 6,697.53, 10,046.34 and 1,767.13

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Solution

The fourth proportional to 6,697.53, 10,046.34 and 1,767.13 is: 2,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.53 : 10,046.34 = 1,767.13 : x
  2. Step 2: Convert to fraction form
    6,697.53/10,046.34 = 1,767.13/x
  3. Step 3: Cross multiply
    6,697.53x = 10,046.34 × 1,767.13
  4. Step 4: Simplify right side
    6,697.53x = 17,753,188.80
  5. Step 5: Solve for x
    x = 17,753,188.80/6,697.53
  6. Step 6: Final answer
    x = 2,650.71

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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.