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Finding the Fourth Proportional to 22,015.75, 33,028.49 and 8,164.75

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Solution

The fourth proportional to 22,015.75, 33,028.49 and 8,164.75 is: 12,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,015.75 : 33,028.49 = 8,164.75 : x
  2. Step 2: Convert to fraction form
    22,015.75/33,028.49 = 8,164.75/x
  3. Step 3: Cross multiply
    22,015.75x = 33,028.49 × 8,164.75
  4. Step 4: Simplify right side
    22,015.75x = 269,669,363.73
  5. Step 5: Solve for x
    x = 269,669,363.73/22,015.75
  6. Step 6: Final answer
    x = 12,248.93

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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.