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Finding the Fourth Proportional to 6,640.85, 9,164.36 and 3,656.69

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Solution

The fourth proportional to 6,640.85, 9,164.36 and 3,656.69 is: 5,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.85 : 9,164.36 = 3,656.69 : x
  2. Step 2: Convert to fraction form
    6,640.85/9,164.36 = 3,656.69/x
  3. Step 3: Cross multiply
    6,640.85x = 9,164.36 × 3,656.69
  4. Step 4: Simplify right side
    6,640.85x = 33,511,228.20
  5. Step 5: Solve for x
    x = 33,511,228.20/6,640.85
  6. Step 6: Final answer
    x = 5,046.22

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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.