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Finding the Fourth Proportional to 7,736.25, 10,634.97 and 6,655.57

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Solution

The fourth proportional to 7,736.25, 10,634.97 and 6,655.57 is: 9,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.25 : 10,634.97 = 6,655.57 : x
  2. Step 2: Convert to fraction form
    7,736.25/10,634.97 = 6,655.57/x
  3. Step 3: Cross multiply
    7,736.25x = 10,634.97 × 6,655.57
  4. Step 4: Simplify right side
    7,736.25x = 70,781,800.58
  5. Step 5: Solve for x
    x = 70,781,800.58/7,736.25
  6. Step 6: Final answer
    x = 9,149.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.