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Finding the Fourth Proportional to 7,144.71, 10,714.43 and 2,463.43

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Solution

The fourth proportional to 7,144.71, 10,714.43 and 2,463.43 is: 3,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.71 : 10,714.43 = 2,463.43 : x
  2. Step 2: Convert to fraction form
    7,144.71/10,714.43 = 2,463.43/x
  3. Step 3: Cross multiply
    7,144.71x = 10,714.43 × 2,463.43
  4. Step 4: Simplify right side
    7,144.71x = 26,394,233.90
  5. Step 5: Solve for x
    x = 26,394,233.90/7,144.71
  6. Step 6: Final answer
    x = 3,694.24

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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.