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Finding the Fourth Proportional to 6,648.10, 9,174.24 and 3,663.86

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Solution

The fourth proportional to 6,648.10, 9,174.24 and 3,663.86 is: 5,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.10 : 9,174.24 = 3,663.86 : x
  2. Step 2: Convert to fraction form
    6,648.10/9,174.24 = 3,663.86/x
  3. Step 3: Cross multiply
    6,648.10x = 9,174.24 × 3,663.86
  4. Step 4: Simplify right side
    6,648.10x = 33,613,140.13
  5. Step 5: Solve for x
    x = 33,613,140.13/6,648.10
  6. Step 6: Final answer
    x = 5,056.05

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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.