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Finding the Fourth Proportional to 14,546.46, 21,801.39 and 7,882.71

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Solution

The fourth proportional to 14,546.46, 21,801.39 and 7,882.71 is: 11,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.46 : 21,801.39 = 7,882.71 : x
  2. Step 2: Convert to fraction form
    14,546.46/21,801.39 = 7,882.71/x
  3. Step 3: Cross multiply
    14,546.46x = 21,801.39 × 7,882.71
  4. Step 4: Simplify right side
    14,546.46x = 171,854,034.97
  5. Step 5: Solve for x
    x = 171,854,034.97/14,546.46
  6. Step 6: Final answer
    x = 11,814.15

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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.