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Finding the Fourth Proportional to 6,314.31, 9,471.47 and 2,612.48

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Solution

The fourth proportional to 6,314.31, 9,471.47 and 2,612.48 is: 3,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.31 : 9,471.47 = 2,612.48 : x
  2. Step 2: Convert to fraction form
    6,314.31/9,471.47 = 2,612.48/x
  3. Step 3: Cross multiply
    6,314.31x = 9,471.47 × 2,612.48
  4. Step 4: Simplify right side
    6,314.31x = 24,743,965.53
  5. Step 5: Solve for x
    x = 24,743,965.53/6,314.31
  6. Step 6: Final answer
    x = 3,918.71

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Similar ratio
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1.5x scale

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.