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Finding the Fourth Proportional to 11,696.13, 16,147.81 and 7,611.82

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Solution

The fourth proportional to 11,696.13, 16,147.81 and 7,611.82 is: 10,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.13 : 16,147.81 = 7,611.82 : x
  2. Step 2: Convert to fraction form
    11,696.13/16,147.81 = 7,611.82/x
  3. Step 3: Cross multiply
    11,696.13x = 16,147.81 × 7,611.82
  4. Step 4: Simplify right side
    11,696.13x = 122,914,223.11
  5. Step 5: Solve for x
    x = 122,914,223.11/11,696.13
  6. Step 6: Final answer
    x = 10,508.97

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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.