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Finding the Fourth Proportional to 6,634.56, 9,157.38 and 3,841.68

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Solution

The fourth proportional to 6,634.56, 9,157.38 and 3,841.68 is: 5,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.56 : 9,157.38 = 3,841.68 : x
  2. Step 2: Convert to fraction form
    6,634.56/9,157.38 = 3,841.68/x
  3. Step 3: Cross multiply
    6,634.56x = 9,157.38 × 3,841.68
  4. Step 4: Simplify right side
    6,634.56x = 35,179,723.60
  5. Step 5: Solve for x
    x = 35,179,723.60/6,634.56
  6. Step 6: Final answer
    x = 5,302.50

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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.