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Finding the Fourth Proportional to 15,757.97, 21,746.14 and 8,684.64

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Solution

The fourth proportional to 15,757.97, 21,746.14 and 8,684.64 is: 11,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.97 : 21,746.14 = 8,684.64 : x
  2. Step 2: Convert to fraction form
    15,757.97/21,746.14 = 8,684.64/x
  3. Step 3: Cross multiply
    15,757.97x = 21,746.14 × 8,684.64
  4. Step 4: Simplify right side
    15,757.97x = 188,857,375.58
  5. Step 5: Solve for x
    x = 188,857,375.58/15,757.97
  6. Step 6: Final answer
    x = 11,984.88

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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.