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Finding the Fourth Proportional to 6,634.24, 9,945.60 and 3,344.56

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Solution

The fourth proportional to 6,634.24, 9,945.60 and 3,344.56 is: 5,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.24 : 9,945.60 = 3,344.56 : x
  2. Step 2: Convert to fraction form
    6,634.24/9,945.60 = 3,344.56/x
  3. Step 3: Cross multiply
    6,634.24x = 9,945.60 × 3,344.56
  4. Step 4: Simplify right side
    6,634.24x = 33,263,655.94
  5. Step 5: Solve for x
    x = 33,263,655.94/6,634.24
  6. Step 6: Final answer
    x = 5,013.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.