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Finding the Fourth Proportional to 15,997.84, 23,998.78 and 5,469.86

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Solution

The fourth proportional to 15,997.84, 23,998.78 and 5,469.86 is: 8,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.84 : 23,998.78 = 5,469.86 : x
  2. Step 2: Convert to fraction form
    15,997.84/23,998.78 = 5,469.86/x
  3. Step 3: Cross multiply
    15,997.84x = 23,998.78 × 5,469.86
  4. Step 4: Simplify right side
    15,997.84x = 131,269,966.77
  5. Step 5: Solve for x
    x = 131,269,966.77/15,997.84
  6. Step 6: Final answer
    x = 8,205.48

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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.