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Finding the Fourth Proportional to 5,843.47, 8,764.25 and 2,144.78

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Solution

The fourth proportional to 5,843.47, 8,764.25 and 2,144.78 is: 3,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.47 : 8,764.25 = 2,144.78 : x
  2. Step 2: Convert to fraction form
    5,843.47/8,764.25 = 2,144.78/x
  3. Step 3: Cross multiply
    5,843.47x = 8,764.25 × 2,144.78
  4. Step 4: Simplify right side
    5,843.47x = 18,797,378.50
  5. Step 5: Solve for x
    x = 18,797,378.50/5,843.47
  6. Step 6: Final answer
    x = 3,216.82

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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.