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Finding the Fourth Proportional to 10,806.62, 14,908.42 and 6,770.96

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Solution

The fourth proportional to 10,806.62, 14,908.42 and 6,770.96 is: 9,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.62 : 14,908.42 = 6,770.96 : x
  2. Step 2: Convert to fraction form
    10,806.62/14,908.42 = 6,770.96/x
  3. Step 3: Cross multiply
    10,806.62x = 14,908.42 × 6,770.96
  4. Step 4: Simplify right side
    10,806.62x = 100,944,305.31
  5. Step 5: Solve for x
    x = 100,944,305.31/10,806.62
  6. Step 6: Final answer
    x = 9,340.97

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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.