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Finding the Fourth Proportional to 15,713.78, 21,685.02 and 8,640.68

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Solution

The fourth proportional to 15,713.78, 21,685.02 and 8,640.68 is: 11,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.78 : 21,685.02 = 8,640.68 : x
  2. Step 2: Convert to fraction form
    15,713.78/21,685.02 = 8,640.68/x
  3. Step 3: Cross multiply
    15,713.78x = 21,685.02 × 8,640.68
  4. Step 4: Simplify right side
    15,713.78x = 187,373,318.61
  5. Step 5: Solve for x
    x = 187,373,318.61/15,713.78
  6. Step 6: Final answer
    x = 11,924.14

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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.