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Finding the Fourth Proportional to 6,286.82, 8,676.11 and 3,634.47

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Solution

The fourth proportional to 6,286.82, 8,676.11 and 3,634.47 is: 5,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.82 : 8,676.11 = 3,634.47 : x
  2. Step 2: Convert to fraction form
    6,286.82/8,676.11 = 3,634.47/x
  3. Step 3: Cross multiply
    6,286.82x = 8,676.11 × 3,634.47
  4. Step 4: Simplify right side
    6,286.82x = 31,533,070.60
  5. Step 5: Solve for x
    x = 31,533,070.60/6,286.82
  6. Step 6: Final answer
    x = 5,015.75

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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.