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Finding the Fourth Proportional to 6,617.08, 9,129.67 and 4,098.39

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Solution

The fourth proportional to 6,617.08, 9,129.67 and 4,098.39 is: 5,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.08 : 9,129.67 = 4,098.39 : x
  2. Step 2: Convert to fraction form
    6,617.08/9,129.67 = 4,098.39/x
  3. Step 3: Cross multiply
    6,617.08x = 9,129.67 × 4,098.39
  4. Step 4: Simplify right side
    6,617.08x = 37,416,948.23
  5. Step 5: Solve for x
    x = 37,416,948.23/6,617.08
  6. Step 6: Final answer
    x = 5,654.60

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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.