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Finding the Fourth Proportional to 13,763.52, 20,658.24 and 9,149.76

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Solution

The fourth proportional to 13,763.52, 20,658.24 and 9,149.76 is: 13,733.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.52 : 20,658.24 = 9,149.76 : x
  2. Step 2: Convert to fraction form
    13,763.52/20,658.24 = 9,149.76/x
  3. Step 3: Cross multiply
    13,763.52x = 20,658.24 × 9,149.76
  4. Step 4: Simplify right side
    13,763.52x = 189,017,938.02
  5. Step 5: Solve for x
    x = 189,017,938.02/13,763.52
  6. Step 6: Final answer
    x = 13,733.26

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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.