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Finding the Fourth Proportional to 6,641.78, 9,959.81 and 2,257.25

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Solution

The fourth proportional to 6,641.78, 9,959.81 and 2,257.25 is: 3,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.78 : 9,959.81 = 2,257.25 : x
  2. Step 2: Convert to fraction form
    6,641.78/9,959.81 = 2,257.25/x
  3. Step 3: Cross multiply
    6,641.78x = 9,959.81 × 2,257.25
  4. Step 4: Simplify right side
    6,641.78x = 22,481,720.04
  5. Step 5: Solve for x
    x = 22,481,720.04/6,641.78
  6. Step 6: Final answer
    x = 3,384.90

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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.