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Finding the Fourth Proportional to 7,843.61, 11,696.22 and 6,754.97

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Solution

The fourth proportional to 7,843.61, 11,696.22 and 6,754.97 is: 10,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.61 : 11,696.22 = 6,754.97 : x
  2. Step 2: Convert to fraction form
    7,843.61/11,696.22 = 6,754.97/x
  3. Step 3: Cross multiply
    7,843.61x = 11,696.22 × 6,754.97
  4. Step 4: Simplify right side
    7,843.61x = 79,007,531.40
  5. Step 5: Solve for x
    x = 79,007,531.40/7,843.61
  6. Step 6: Final answer
    x = 10,072.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.