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Finding the Fourth Proportional to 15,229.32, 22,843.88 and 7,835.84

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Solution

The fourth proportional to 15,229.32, 22,843.88 and 7,835.84 is: 11,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.32 : 22,843.88 = 7,835.84 : x
  2. Step 2: Convert to fraction form
    15,229.32/22,843.88 = 7,835.84/x
  3. Step 3: Cross multiply
    15,229.32x = 22,843.88 × 7,835.84
  4. Step 4: Simplify right side
    15,229.32x = 179,000,988.66
  5. Step 5: Solve for x
    x = 179,000,988.66/15,229.32
  6. Step 6: Final answer
    x = 11,753.71

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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.