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Finding the Fourth Proportional to 20,641.40, 30,974.43 and 7,494.78

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Solution

The fourth proportional to 20,641.40, 30,974.43 and 7,494.78 is: 11,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,641.40 : 30,974.43 = 7,494.78 : x
  2. Step 2: Convert to fraction form
    20,641.40/30,974.43 = 7,494.78/x
  3. Step 3: Cross multiply
    20,641.40x = 30,974.43 × 7,494.78
  4. Step 4: Simplify right side
    20,641.40x = 232,146,538.48
  5. Step 5: Solve for x
    x = 232,146,538.48/20,641.40
  6. Step 6: Final answer
    x = 11,246.65

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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.