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Finding the Fourth Proportional to 10,262.61, 15,393.92 and 2,471.42

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Solution

The fourth proportional to 10,262.61, 15,393.92 and 2,471.42 is: 3,707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.61 : 15,393.92 = 2,471.42 : x
  2. Step 2: Convert to fraction form
    10,262.61/15,393.92 = 2,471.42/x
  3. Step 3: Cross multiply
    10,262.61x = 15,393.92 × 2,471.42
  4. Step 4: Simplify right side
    10,262.61x = 38,044,841.77
  5. Step 5: Solve for x
    x = 38,044,841.77/10,262.61
  6. Step 6: Final answer
    x = 3,707.13

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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.