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Finding the Fourth Proportional to 6,641.56, 9,959.46 and 2,257.84

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Solution

The fourth proportional to 6,641.56, 9,959.46 and 2,257.84 is: 3,385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.56 : 9,959.46 = 2,257.84 : x
  2. Step 2: Convert to fraction form
    6,641.56/9,959.46 = 2,257.84/x
  3. Step 3: Cross multiply
    6,641.56x = 9,959.46 × 2,257.84
  4. Step 4: Simplify right side
    6,641.56x = 22,486,867.17
  5. Step 5: Solve for x
    x = 22,486,867.17/6,641.56
  6. Step 6: Final answer
    x = 3,385.78

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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.