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Finding the Fourth Proportional to 7,233.97, 10,785.96 and 6,616.14

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Solution

The fourth proportional to 7,233.97, 10,785.96 and 6,616.14 is: 9,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.97 : 10,785.96 = 6,616.14 : x
  2. Step 2: Convert to fraction form
    7,233.97/10,785.96 = 6,616.14/x
  3. Step 3: Cross multiply
    7,233.97x = 10,785.96 × 6,616.14
  4. Step 4: Simplify right side
    7,233.97x = 71,361,443.59
  5. Step 5: Solve for x
    x = 71,361,443.59/7,233.97
  6. Step 6: Final answer
    x = 9,864.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.