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Finding the Fourth Proportional to 15,745.91, 23,625 and 5,882.88

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Solution

The fourth proportional to 15,745.91, 23,625 and 5,882.88 is: 8,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.91 : 23,625 = 5,882.88 : x
  2. Step 2: Convert to fraction form
    15,745.91/23,625 = 5,882.88/x
  3. Step 3: Cross multiply
    15,745.91x = 23,625 × 5,882.88
  4. Step 4: Simplify right side
    15,745.91x = 138,982,995.70
  5. Step 5: Solve for x
    x = 138,982,995.70/15,745.91
  6. Step 6: Final answer
    x = 8,826.61

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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.