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Finding the Fourth Proportional to 6,641.30, 9,164.68 and 3,657.26

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Solution

The fourth proportional to 6,641.30, 9,164.68 and 3,657.26 is: 5,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.30 : 9,164.68 = 3,657.26 : x
  2. Step 2: Convert to fraction form
    6,641.30/9,164.68 = 3,657.26/x
  3. Step 3: Cross multiply
    6,641.30x = 9,164.68 × 3,657.26
  4. Step 4: Simplify right side
    6,641.30x = 33,517,631.35
  5. Step 5: Solve for x
    x = 33,517,631.35/6,641.30
  6. Step 6: Final answer
    x = 5,046.85

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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.