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Finding the Fourth Proportional to 6,855.97, 9,461.24 and 3,712.16

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Solution

The fourth proportional to 6,855.97, 9,461.24 and 3,712.16 is: 5,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.97 : 9,461.24 = 3,712.16 : x
  2. Step 2: Convert to fraction form
    6,855.97/9,461.24 = 3,712.16/x
  3. Step 3: Cross multiply
    6,855.97x = 9,461.24 × 3,712.16
  4. Step 4: Simplify right side
    6,855.97x = 35,121,636.68
  5. Step 5: Solve for x
    x = 35,121,636.68/6,855.97
  6. Step 6: Final answer
    x = 5,122.78

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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.