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Finding the Fourth Proportional to 22,549.52, 33,824.89 and 7,758.21

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Solution

The fourth proportional to 22,549.52, 33,824.89 and 7,758.21 is: 11,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.52 : 33,824.89 = 7,758.21 : x
  2. Step 2: Convert to fraction form
    22,549.52/33,824.89 = 7,758.21/x
  3. Step 3: Cross multiply
    22,549.52x = 33,824.89 × 7,758.21
  4. Step 4: Simplify right side
    22,549.52x = 262,420,736.39
  5. Step 5: Solve for x
    x = 262,420,736.39/22,549.52
  6. Step 6: Final answer
    x = 11,637.53

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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.