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Finding the Fourth Proportional to 26,502.93, 39,754.20 and 6,781.46

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Solution

The fourth proportional to 26,502.93, 39,754.20 and 6,781.46 is: 10,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,502.93 : 39,754.20 = 6,781.46 : x
  2. Step 2: Convert to fraction form
    26,502.93/39,754.20 = 6,781.46/x
  3. Step 3: Cross multiply
    26,502.93x = 39,754.20 × 6,781.46
  4. Step 4: Simplify right side
    26,502.93x = 269,591,517.13
  5. Step 5: Solve for x
    x = 269,591,517.13/26,502.93
  6. Step 6: Final answer
    x = 10,172.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.