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Finding the Fourth Proportional to 22,411.86, 33,617.76 and 6,829.48

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Solution

The fourth proportional to 22,411.86, 33,617.76 and 6,829.48 is: 10,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,411.86 : 33,617.76 = 6,829.48 : x
  2. Step 2: Convert to fraction form
    22,411.86/33,617.76 = 6,829.48/x
  3. Step 3: Cross multiply
    22,411.86x = 33,617.76 × 6,829.48
  4. Step 4: Simplify right side
    22,411.86x = 229,591,819.56
  5. Step 5: Solve for x
    x = 229,591,819.56/22,411.86
  6. Step 6: Final answer
    x = 10,244.21

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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.