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Finding the Fourth Proportional to 6,209.64, 8,568.54 and 3,691.80

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Solution

The fourth proportional to 6,209.64, 8,568.54 and 3,691.80 is: 5,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.64 : 8,568.54 = 3,691.80 : x
  2. Step 2: Convert to fraction form
    6,209.64/8,568.54 = 3,691.80/x
  3. Step 3: Cross multiply
    6,209.64x = 8,568.54 × 3,691.80
  4. Step 4: Simplify right side
    6,209.64x = 31,633,335.97
  5. Step 5: Solve for x
    x = 31,633,335.97/6,209.64
  6. Step 6: Final answer
    x = 5,094.23

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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.