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Finding the Fourth Proportional to 6,641.06, 9,164.89 and 3,657.10

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Solution

The fourth proportional to 6,641.06, 9,164.89 and 3,657.10 is: 5,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.06 : 9,164.89 = 3,657.10 : x
  2. Step 2: Convert to fraction form
    6,641.06/9,164.89 = 3,657.10/x
  3. Step 3: Cross multiply
    6,641.06x = 9,164.89 × 3,657.10
  4. Step 4: Simplify right side
    6,641.06x = 33,516,919.22
  5. Step 5: Solve for x
    x = 33,516,919.22/6,641.06
  6. Step 6: Final answer
    x = 5,046.92

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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.