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Finding the Fourth Proportional to 15,882, 21,918.96 and 9,169.43

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Solution

The fourth proportional to 15,882, 21,918.96 and 9,169.43 is: 12,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882 : 21,918.96 = 9,169.43 : x
  2. Step 2: Convert to fraction form
    15,882/21,918.96 = 9,169.43/x
  3. Step 3: Cross multiply
    15,882x = 21,918.96 × 9,169.43
  4. Step 4: Simplify right side
    15,882x = 200,984,259.80
  5. Step 5: Solve for x
    x = 200,984,259.80/15,882
  6. Step 6: Final answer
    x = 12,654.85

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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.