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Finding the Fourth Proportional to 22,620.70, 33,922.92 and 7,825.60

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Solution

The fourth proportional to 22,620.70, 33,922.92 and 7,825.60 is: 11,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,620.70 : 33,922.92 = 7,825.60 : x
  2. Step 2: Convert to fraction form
    22,620.70/33,922.92 = 7,825.60/x
  3. Step 3: Cross multiply
    22,620.70x = 33,922.92 × 7,825.60
  4. Step 4: Simplify right side
    22,620.70x = 265,467,202.75
  5. Step 5: Solve for x
    x = 265,467,202.75/22,620.70
  6. Step 6: Final answer
    x = 11,735.59

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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.