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Finding the Fourth Proportional to 6,781.64, 10,174.28 and 6,131.00

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Solution

The fourth proportional to 6,781.64, 10,174.28 and 6,131.00 is: 9,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.64 : 10,174.28 = 6,131.00 : x
  2. Step 2: Convert to fraction form
    6,781.64/10,174.28 = 6,131.00/x
  3. Step 3: Cross multiply
    6,781.64x = 10,174.28 × 6,131.00
  4. Step 4: Simplify right side
    6,781.64x = 62,378,429.15
  5. Step 5: Solve for x
    x = 62,378,429.15/6,781.64
  6. Step 6: Final answer
    x = 9,198.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.