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Finding the Fourth Proportional to 6,640.83, 9,164.34 and 3,656.66

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Solution

The fourth proportional to 6,640.83, 9,164.34 and 3,656.66 is: 5,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.83 : 9,164.34 = 3,656.66 : x
  2. Step 2: Convert to fraction form
    6,640.83/9,164.34 = 3,656.66/x
  3. Step 3: Cross multiply
    6,640.83x = 9,164.34 × 3,656.66
  4. Step 4: Simplify right side
    6,640.83x = 33,510,839.97
  5. Step 5: Solve for x
    x = 33,510,839.97/6,640.83
  6. Step 6: Final answer
    x = 5,046.18

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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.