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Finding the Fourth Proportional to 22,542.16, 33,816.48 and 6,961.12

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Solution

The fourth proportional to 22,542.16, 33,816.48 and 6,961.12 is: 10,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.16 : 33,816.48 = 6,961.12 : x
  2. Step 2: Convert to fraction form
    22,542.16/33,816.48 = 6,961.12/x
  3. Step 3: Cross multiply
    22,542.16x = 33,816.48 × 6,961.12
  4. Step 4: Simplify right side
    22,542.16x = 235,400,575.26
  5. Step 5: Solve for x
    x = 235,400,575.26/22,542.16
  6. Step 6: Final answer
    x = 10,442.68

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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.