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Finding the Fourth Proportional to 13,791.92, 20,682.84 and 5,024.24

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Solution

The fourth proportional to 13,791.92, 20,682.84 and 5,024.24 is: 7,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.92 : 20,682.84 = 5,024.24 : x
  2. Step 2: Convert to fraction form
    13,791.92/20,682.84 = 5,024.24/x
  3. Step 3: Cross multiply
    13,791.92x = 20,682.84 × 5,024.24
  4. Step 4: Simplify right side
    13,791.92x = 103,915,552.04
  5. Step 5: Solve for x
    x = 103,915,552.04/13,791.92
  6. Step 6: Final answer
    x = 7,534.52

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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.