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Finding the Fourth Proportional to 22,532.80, 33,775.60 and 7,736.44

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Solution

The fourth proportional to 22,532.80, 33,775.60 and 7,736.44 is: 11,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.80 : 33,775.60 = 7,736.44 : x
  2. Step 2: Convert to fraction form
    22,532.80/33,775.60 = 7,736.44/x
  3. Step 3: Cross multiply
    22,532.80x = 33,775.60 × 7,736.44
  4. Step 4: Simplify right side
    22,532.80x = 261,302,902.86
  5. Step 5: Solve for x
    x = 261,302,902.86/22,532.80
  6. Step 6: Final answer
    x = 11,596.56

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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.