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Finding the Fourth Proportional to 14,791.74, 20,414.60 and 9,414.71

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Solution

The fourth proportional to 14,791.74, 20,414.60 and 9,414.71 is: 12,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791.74 : 20,414.60 = 9,414.71 : x
  2. Step 2: Convert to fraction form
    14,791.74/20,414.60 = 9,414.71/x
  3. Step 3: Cross multiply
    14,791.74x = 20,414.60 × 9,414.71
  4. Step 4: Simplify right side
    14,791.74x = 192,197,389.62
  5. Step 5: Solve for x
    x = 192,197,389.62/14,791.74
  6. Step 6: Final answer
    x = 12,993.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.