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Finding the Fourth Proportional to 20,194.94, 30,297.20 and 6,343.94

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Solution

The fourth proportional to 20,194.94, 30,297.20 and 6,343.94 is: 9,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.94 : 30,297.20 = 6,343.94 : x
  2. Step 2: Convert to fraction form
    20,194.94/30,297.20 = 6,343.94/x
  3. Step 3: Cross multiply
    20,194.94x = 30,297.20 × 6,343.94
  4. Step 4: Simplify right side
    20,194.94x = 192,203,618.97
  5. Step 5: Solve for x
    x = 192,203,618.97/20,194.94
  6. Step 6: Final answer
    x = 9,517.41

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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.