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Finding the Fourth Proportional to 22,550.16, 33,824.24 and 6,967.68

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Solution

The fourth proportional to 22,550.16, 33,824.24 and 6,967.68 is: 10,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,550.16 : 33,824.24 = 6,967.68 : x
  2. Step 2: Convert to fraction form
    22,550.16/33,824.24 = 6,967.68/x
  3. Step 3: Cross multiply
    22,550.16x = 33,824.24 × 6,967.68
  4. Step 4: Simplify right side
    22,550.16x = 235,676,480.56
  5. Step 5: Solve for x
    x = 235,676,480.56/22,550.16
  6. Step 6: Final answer
    x = 10,451.21

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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.