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Finding the Fourth Proportional to 5,292.27, 7,937.73 and 1,781.73

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Solution

The fourth proportional to 5,292.27, 7,937.73 and 1,781.73 is: 2,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.27 : 7,937.73 = 1,781.73 : x
  2. Step 2: Convert to fraction form
    5,292.27/7,937.73 = 1,781.73/x
  3. Step 3: Cross multiply
    5,292.27x = 7,937.73 × 1,781.73
  4. Step 4: Simplify right side
    5,292.27x = 14,142,891.67
  5. Step 5: Solve for x
    x = 14,142,891.67/5,292.27
  6. Step 6: Final answer
    x = 2,672.37

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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.