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Finding the Fourth Proportional to 6,641.22, 9,164.85 and 3,657.05

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Solution

The fourth proportional to 6,641.22, 9,164.85 and 3,657.05 is: 5,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.22 : 9,164.85 = 3,657.05 : x
  2. Step 2: Convert to fraction form
    6,641.22/9,164.85 = 3,657.05/x
  3. Step 3: Cross multiply
    6,641.22x = 9,164.85 × 3,657.05
  4. Step 4: Simplify right side
    6,641.22x = 33,516,320.38
  5. Step 5: Solve for x
    x = 33,516,320.38/6,641.22
  6. Step 6: Final answer
    x = 5,046.71

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Double scale
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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.