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Finding the Fourth Proportional to 22,369.24, 33,555 and 5,729.44

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Solution

The fourth proportional to 22,369.24, 33,555 and 5,729.44 is: 8,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.24 : 33,555 = 5,729.44 : x
  2. Step 2: Convert to fraction form
    22,369.24/33,555 = 5,729.44/x
  3. Step 3: Cross multiply
    22,369.24x = 33,555 × 5,729.44
  4. Step 4: Simplify right side
    22,369.24x = 192,251,359.20
  5. Step 5: Solve for x
    x = 192,251,359.20/22,369.24
  6. Step 6: Final answer
    x = 8,594.45

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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.