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Finding the Fourth Proportional to 22,573.32, 33,857.82 and 7,780.20

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Solution

The fourth proportional to 22,573.32, 33,857.82 and 7,780.20 is: 11,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,573.32 : 33,857.82 = 7,780.20 : x
  2. Step 2: Convert to fraction form
    22,573.32/33,857.82 = 7,780.20/x
  3. Step 3: Cross multiply
    22,573.32x = 33,857.82 × 7,780.20
  4. Step 4: Simplify right side
    22,573.32x = 263,420,611.16
  5. Step 5: Solve for x
    x = 263,420,611.16/22,573.32
  6. Step 6: Final answer
    x = 11,669.56

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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.