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Finding the Fourth Proportional to 7,049.96, 9,729.02 and 3,906.13

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Solution

The fourth proportional to 7,049.96, 9,729.02 and 3,906.13 is: 5,390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.96 : 9,729.02 = 3,906.13 : x
  2. Step 2: Convert to fraction form
    7,049.96/9,729.02 = 3,906.13/x
  3. Step 3: Cross multiply
    7,049.96x = 9,729.02 × 3,906.13
  4. Step 4: Simplify right side
    7,049.96x = 38,002,748.72
  5. Step 5: Solve for x
    x = 38,002,748.72/7,049.96
  6. Step 6: Final answer
    x = 5,390.49

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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.