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Finding the Fourth Proportional to 6,641.80, 9,165.84 and 3,657.80

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Solution

The fourth proportional to 6,641.80, 9,165.84 and 3,657.80 is: 5,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.80 : 9,165.84 = 3,657.80 : x
  2. Step 2: Convert to fraction form
    6,641.80/9,165.84 = 3,657.80/x
  3. Step 3: Cross multiply
    6,641.80x = 9,165.84 × 3,657.80
  4. Step 4: Simplify right side
    6,641.80x = 33,526,809.55
  5. Step 5: Solve for x
    x = 33,526,809.55/6,641.80
  6. Step 6: Final answer
    x = 5,047.85

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Similar ratio
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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.