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Finding the Fourth Proportional to 6,648.11, 9,174.17 and 3,664

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Solution

The fourth proportional to 6,648.11, 9,174.17 and 3,664 is: 5,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.11 : 9,174.17 = 3,664 : x
  2. Step 2: Convert to fraction form
    6,648.11/9,174.17 = 3,664/x
  3. Step 3: Cross multiply
    6,648.11x = 9,174.17 × 3,664
  4. Step 4: Simplify right side
    6,648.11x = 33,614,158.88
  5. Step 5: Solve for x
    x = 33,614,158.88/6,648.11
  6. Step 6: Final answer
    x = 5,056.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.