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Finding the Fourth Proportional to 6,641.97, 9,165.59 and 3,657.73

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Solution

The fourth proportional to 6,641.97, 9,165.59 and 3,657.73 is: 5,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.97 : 9,165.59 = 3,657.73 : x
  2. Step 2: Convert to fraction form
    6,641.97/9,165.59 = 3,657.73/x
  3. Step 3: Cross multiply
    6,641.97x = 9,165.59 × 3,657.73
  4. Step 4: Simplify right side
    6,641.97x = 33,525,207.68
  5. Step 5: Solve for x
    x = 33,525,207.68/6,641.97
  6. Step 6: Final answer
    x = 5,047.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.