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Finding the Fourth Proportional to 15,149.70, 22,709.88 and 7,757.64

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Solution

The fourth proportional to 15,149.70, 22,709.88 and 7,757.64 is: 11,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149.70 : 22,709.88 = 7,757.64 : x
  2. Step 2: Convert to fraction form
    15,149.70/22,709.88 = 7,757.64/x
  3. Step 3: Cross multiply
    15,149.70x = 22,709.88 × 7,757.64
  4. Step 4: Simplify right side
    15,149.70x = 176,175,073.48
  5. Step 5: Solve for x
    x = 176,175,073.48/15,149.70
  6. Step 6: Final answer
    x = 11,628.95

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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.