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Finding the Fourth Proportional to 7,081.68, 9,772.32 and 3,937.68

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Solution

The fourth proportional to 7,081.68, 9,772.32 and 3,937.68 is: 5,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.68 : 9,772.32 = 3,937.68 : x
  2. Step 2: Convert to fraction form
    7,081.68/9,772.32 = 3,937.68/x
  3. Step 3: Cross multiply
    7,081.68x = 9,772.32 × 3,937.68
  4. Step 4: Simplify right side
    7,081.68x = 38,480,269.02
  5. Step 5: Solve for x
    x = 38,480,269.02/7,081.68
  6. Step 6: Final answer
    x = 5,433.78

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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.