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Finding the Fourth Proportional to 20,195.44, 30,297.96 and 6,344.44

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Solution

The fourth proportional to 20,195.44, 30,297.96 and 6,344.44 is: 9,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.44 : 30,297.96 = 6,344.44 : x
  2. Step 2: Convert to fraction form
    20,195.44/30,297.96 = 6,344.44/x
  3. Step 3: Cross multiply
    20,195.44x = 30,297.96 × 6,344.44
  4. Step 4: Simplify right side
    20,195.44x = 192,223,589.34
  5. Step 5: Solve for x
    x = 192,223,589.34/20,195.44
  6. Step 6: Final answer
    x = 9,518.17

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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.