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Finding the Fourth Proportional to 4,324.47, 6,481.07 and 1,983.63

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Solution

The fourth proportional to 4,324.47, 6,481.07 and 1,983.63 is: 2,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.47 : 6,481.07 = 1,983.63 : x
  2. Step 2: Convert to fraction form
    4,324.47/6,481.07 = 1,983.63/x
  3. Step 3: Cross multiply
    4,324.47x = 6,481.07 × 1,983.63
  4. Step 4: Simplify right side
    4,324.47x = 12,856,034.97
  5. Step 5: Solve for x
    x = 12,856,034.97/4,324.47
  6. Step 6: Final answer
    x = 2,972.86

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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.