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Finding the Fourth Proportional to 6,614.71, 9,924.39 and 4,402.42

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Solution

The fourth proportional to 6,614.71, 9,924.39 and 4,402.42 is: 6,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.71 : 9,924.39 = 4,402.42 : x
  2. Step 2: Convert to fraction form
    6,614.71/9,924.39 = 4,402.42/x
  3. Step 3: Cross multiply
    6,614.71x = 9,924.39 × 4,402.42
  4. Step 4: Simplify right side
    6,614.71x = 43,691,333.02
  5. Step 5: Solve for x
    x = 43,691,333.02/6,614.71
  6. Step 6: Final answer
    x = 6,605.18

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1.5x scale

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.