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Finding the Fourth Proportional to 7,052.40, 9,729.04 and 4,957.76

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Solution

The fourth proportional to 7,052.40, 9,729.04 and 4,957.76 is: 6,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.40 : 9,729.04 = 4,957.76 : x
  2. Step 2: Convert to fraction form
    7,052.40/9,729.04 = 4,957.76/x
  3. Step 3: Cross multiply
    7,052.40x = 9,729.04 × 4,957.76
  4. Step 4: Simplify right side
    7,052.40x = 48,234,245.35
  5. Step 5: Solve for x
    x = 48,234,245.35/7,052.40
  6. Step 6: Final answer
    x = 6,839.41

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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.