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Finding the Fourth Proportional to 6,144.75, 9,215.49 and 1,761.17

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Solution

The fourth proportional to 6,144.75, 9,215.49 and 1,761.17 is: 2,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.75 : 9,215.49 = 1,761.17 : x
  2. Step 2: Convert to fraction form
    6,144.75/9,215.49 = 1,761.17/x
  3. Step 3: Cross multiply
    6,144.75x = 9,215.49 × 1,761.17
  4. Step 4: Simplify right side
    6,144.75x = 16,229,998.45
  5. Step 5: Solve for x
    x = 16,229,998.45/6,144.75
  6. Step 6: Final answer
    x = 2,641.28

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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.