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Finding the Fourth Proportional to 7,052.88, 9,732.32 and 3,908.80

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Solution

The fourth proportional to 7,052.88, 9,732.32 and 3,908.80 is: 5,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.88 : 9,732.32 = 3,908.80 : x
  2. Step 2: Convert to fraction form
    7,052.88/9,732.32 = 3,908.80/x
  3. Step 3: Cross multiply
    7,052.88x = 9,732.32 × 3,908.80
  4. Step 4: Simplify right side
    7,052.88x = 38,041,692.42
  5. Step 5: Solve for x
    x = 38,041,692.42/7,052.88
  6. Step 6: Final answer
    x = 5,393.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.