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Finding the Fourth Proportional to 11,894.81, 16,414.83 and 6,517.26

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Solution

The fourth proportional to 11,894.81, 16,414.83 and 6,517.26 is: 8,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.81 : 16,414.83 = 6,517.26 : x
  2. Step 2: Convert to fraction form
    11,894.81/16,414.83 = 6,517.26/x
  3. Step 3: Cross multiply
    11,894.81x = 16,414.83 × 6,517.26
  4. Step 4: Simplify right side
    11,894.81x = 106,979,714.97
  5. Step 5: Solve for x
    x = 106,979,714.97/11,894.81
  6. Step 6: Final answer
    x = 8,993.82

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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.