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Finding the Fourth Proportional to 22,102.75, 33,109.78 and 10,975.78

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Solution

The fourth proportional to 22,102.75, 33,109.78 and 10,975.78 is: 16,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.75 : 33,109.78 = 10,975.78 : x
  2. Step 2: Convert to fraction form
    22,102.75/33,109.78 = 10,975.78/x
  3. Step 3: Cross multiply
    22,102.75x = 33,109.78 × 10,975.78
  4. Step 4: Simplify right side
    22,102.75x = 363,405,661.13
  5. Step 5: Solve for x
    x = 363,405,661.13/22,102.75
  6. Step 6: Final answer
    x = 16,441.65

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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.