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Finding the Fourth Proportional to 22,399.46, 33,589.46 and 6,813.44

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Solution

The fourth proportional to 22,399.46, 33,589.46 and 6,813.44 is: 10,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,399.46 : 33,589.46 = 6,813.44 : x
  2. Step 2: Convert to fraction form
    22,399.46/33,589.46 = 6,813.44/x
  3. Step 3: Cross multiply
    22,399.46x = 33,589.46 × 6,813.44
  4. Step 4: Simplify right side
    22,399.46x = 228,859,770.34
  5. Step 5: Solve for x
    x = 228,859,770.34/22,399.46
  6. Step 6: Final answer
    x = 10,217.20

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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.