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Finding the Fourth Proportional to 6,536.52, 9,806.84 and 2,375.42

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Solution

The fourth proportional to 6,536.52, 9,806.84 and 2,375.42 is: 3,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.52 : 9,806.84 = 2,375.42 : x
  2. Step 2: Convert to fraction form
    6,536.52/9,806.84 = 2,375.42/x
  3. Step 3: Cross multiply
    6,536.52x = 9,806.84 × 2,375.42
  4. Step 4: Simplify right side
    6,536.52x = 23,295,363.87
  5. Step 5: Solve for x
    x = 23,295,363.87/6,536.52
  6. Step 6: Final answer
    x = 3,563.88

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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.