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Finding the Fourth Proportional to 6,148.56, 9,216 and 2,449.80

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Solution

The fourth proportional to 6,148.56, 9,216 and 2,449.80 is: 3,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.56 : 9,216 = 2,449.80 : x
  2. Step 2: Convert to fraction form
    6,148.56/9,216 = 2,449.80/x
  3. Step 3: Cross multiply
    6,148.56x = 9,216 × 2,449.80
  4. Step 4: Simplify right side
    6,148.56x = 22,577,356.80
  5. Step 5: Solve for x
    x = 22,577,356.80/6,148.56
  6. Step 6: Final answer
    x = 3,671.97

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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.