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Finding the Fourth Proportional to 15,242.70, 22,865.06 and 5,882.83

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Solution

The fourth proportional to 15,242.70, 22,865.06 and 5,882.83 is: 8,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,242.70 : 22,865.06 = 5,882.83 : x
  2. Step 2: Convert to fraction form
    15,242.70/22,865.06 = 5,882.83/x
  3. Step 3: Cross multiply
    15,242.70x = 22,865.06 × 5,882.83
  4. Step 4: Simplify right side
    15,242.70x = 134,511,260.92
  5. Step 5: Solve for x
    x = 134,511,260.92/15,242.70
  6. Step 6: Final answer
    x = 8,824.63

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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.