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Finding the Fourth Proportional to 15,713.78, 21,685.17 and 8,640.98

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Solution

The fourth proportional to 15,713.78, 21,685.17 and 8,640.98 is: 11,924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.78 : 21,685.17 = 8,640.98 : x
  2. Step 2: Convert to fraction form
    15,713.78/21,685.17 = 8,640.98/x
  3. Step 3: Cross multiply
    15,713.78x = 21,685.17 × 8,640.98
  4. Step 4: Simplify right side
    15,713.78x = 187,381,120.27
  5. Step 5: Solve for x
    x = 187,381,120.27/15,713.78
  6. Step 6: Final answer
    x = 11,924.64

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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.