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Finding the Fourth Proportional to 7,049.68, 9,728.80 and 3,906.16

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Solution

The fourth proportional to 7,049.68, 9,728.80 and 3,906.16 is: 5,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.68 : 9,728.80 = 3,906.16 : x
  2. Step 2: Convert to fraction form
    7,049.68/9,728.80 = 3,906.16/x
  3. Step 3: Cross multiply
    7,049.68x = 9,728.80 × 3,906.16
  4. Step 4: Simplify right side
    7,049.68x = 38,002,249.41
  5. Step 5: Solve for x
    x = 38,002,249.41/7,049.68
  6. Step 6: Final answer
    x = 5,390.63

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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.