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Finding the Fourth Proportional to 6,617.24, 9,128.88 and 4,098.68

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Solution

The fourth proportional to 6,617.24, 9,128.88 and 4,098.68 is: 5,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.24 : 9,128.88 = 4,098.68 : x
  2. Step 2: Convert to fraction form
    6,617.24/9,128.88 = 4,098.68/x
  3. Step 3: Cross multiply
    6,617.24x = 9,128.88 × 4,098.68
  4. Step 4: Simplify right side
    6,617.24x = 37,416,357.88
  5. Step 5: Solve for x
    x = 37,416,357.88/6,617.24
  6. Step 6: Final answer
    x = 5,654.38

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Why These Related Problems?

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