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Finding the Fourth Proportional to 9,757.12, 14,616.24 and 9,074.56

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Solution

The fourth proportional to 9,757.12, 14,616.24 and 9,074.56 is: 13,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.12 : 14,616.24 = 9,074.56 : x
  2. Step 2: Convert to fraction form
    9,757.12/14,616.24 = 9,074.56/x
  3. Step 3: Cross multiply
    9,757.12x = 14,616.24 × 9,074.56
  4. Step 4: Simplify right side
    9,757.12x = 132,635,946.85
  5. Step 5: Solve for x
    x = 132,635,946.85/9,757.12
  6. Step 6: Final answer
    x = 13,593.76

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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.