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Finding the Fourth Proportional to 11,414.71, 17,098.80 and 9,313.81

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Solution

The fourth proportional to 11,414.71, 17,098.80 and 9,313.81 is: 13,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.71 : 17,098.80 = 9,313.81 : x
  2. Step 2: Convert to fraction form
    11,414.71/17,098.80 = 9,313.81/x
  3. Step 3: Cross multiply
    11,414.71x = 17,098.80 × 9,313.81
  4. Step 4: Simplify right side
    11,414.71x = 159,254,974.43
  5. Step 5: Solve for x
    x = 159,254,974.43/11,414.71
  6. Step 6: Final answer
    x = 13,951.73

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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.