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Finding the Fourth Proportional to 6,245.44, 9,371.16 and 3,648.58

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Solution

The fourth proportional to 6,245.44, 9,371.16 and 3,648.58 is: 5,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.44 : 9,371.16 = 3,648.58 : x
  2. Step 2: Convert to fraction form
    6,245.44/9,371.16 = 3,648.58/x
  3. Step 3: Cross multiply
    6,245.44x = 9,371.16 × 3,648.58
  4. Step 4: Simplify right side
    6,245.44x = 34,191,426.95
  5. Step 5: Solve for x
    x = 34,191,426.95/6,245.44
  6. Step 6: Final answer
    x = 5,474.62

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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.