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Finding the Fourth Proportional to 23,983.32, 35,963.22 and 8,398.68

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Solution

The fourth proportional to 23,983.32, 35,963.22 and 8,398.68 is: 12,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,983.32 : 35,963.22 = 8,398.68 : x
  2. Step 2: Convert to fraction form
    23,983.32/35,963.22 = 8,398.68/x
  3. Step 3: Cross multiply
    23,983.32x = 35,963.22 × 8,398.68
  4. Step 4: Simplify right side
    23,983.32x = 302,043,576.55
  5. Step 5: Solve for x
    x = 302,043,576.55/23,983.32
  6. Step 6: Final answer
    x = 12,593.90

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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.