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Finding the Fourth Proportional to 11,696.46, 16,142.09 and 6,662.27

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Solution

The fourth proportional to 11,696.46, 16,142.09 and 6,662.27 is: 9,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.46 : 16,142.09 = 6,662.27 : x
  2. Step 2: Convert to fraction form
    11,696.46/16,142.09 = 6,662.27/x
  3. Step 3: Cross multiply
    11,696.46x = 16,142.09 × 6,662.27
  4. Step 4: Simplify right side
    11,696.46x = 107,542,847.92
  5. Step 5: Solve for x
    x = 107,542,847.92/11,696.46
  6. Step 6: Final answer
    x = 9,194.48

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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.