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Finding the Fourth Proportional to 7,093.44, 10,568.88 and 6,696

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Solution

The fourth proportional to 7,093.44, 10,568.88 and 6,696 is: 9,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.44 : 10,568.88 = 6,696 : x
  2. Step 2: Convert to fraction form
    7,093.44/10,568.88 = 6,696/x
  3. Step 3: Cross multiply
    7,093.44x = 10,568.88 × 6,696
  4. Step 4: Simplify right side
    7,093.44x = 70,769,220.48
  5. Step 5: Solve for x
    x = 70,769,220.48/7,093.44
  6. Step 6: Final answer
    x = 9,976.71

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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.