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Finding the Fourth Proportional to 20,324.43, 30,478.98 and 6,993.65

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Solution

The fourth proportional to 20,324.43, 30,478.98 and 6,993.65 is: 10,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,324.43 : 30,478.98 = 6,993.65 : x
  2. Step 2: Convert to fraction form
    20,324.43/30,478.98 = 6,993.65/x
  3. Step 3: Cross multiply
    20,324.43x = 30,478.98 × 6,993.65
  4. Step 4: Simplify right side
    20,324.43x = 213,159,318.48
  5. Step 5: Solve for x
    x = 213,159,318.48/20,324.43
  6. Step 6: Final answer
    x = 10,487.84

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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.