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Finding the Fourth Proportional to 6,616.30, 9,926.62 and 2,456.68

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Solution

The fourth proportional to 6,616.30, 9,926.62 and 2,456.68 is: 3,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.30 : 9,926.62 = 2,456.68 : x
  2. Step 2: Convert to fraction form
    6,616.30/9,926.62 = 2,456.68/x
  3. Step 3: Cross multiply
    6,616.30x = 9,926.62 × 2,456.68
  4. Step 4: Simplify right side
    6,616.30x = 24,386,528.82
  5. Step 5: Solve for x
    x = 24,386,528.82/6,616.30
  6. Step 6: Final answer
    x = 3,685.83

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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.