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Finding the Fourth Proportional to 6,617.15, 9,926.64 and 2,456.81

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Solution

The fourth proportional to 6,617.15, 9,926.64 and 2,456.81 is: 3,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.15 : 9,926.64 = 2,456.81 : x
  2. Step 2: Convert to fraction form
    6,617.15/9,926.64 = 2,456.81/x
  3. Step 3: Cross multiply
    6,617.15x = 9,926.64 × 2,456.81
  4. Step 4: Simplify right side
    6,617.15x = 24,387,868.42
  5. Step 5: Solve for x
    x = 24,387,868.42/6,617.15
  6. Step 6: Final answer
    x = 3,685.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.