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Finding the Fourth Proportional to 6,267.82, 8,629.86 and 4,770.94

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Solution

The fourth proportional to 6,267.82, 8,629.86 and 4,770.94 is: 6,568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.82 : 8,629.86 = 4,770.94 : x
  2. Step 2: Convert to fraction form
    6,267.82/8,629.86 = 4,770.94/x
  3. Step 3: Cross multiply
    6,267.82x = 8,629.86 × 4,770.94
  4. Step 4: Simplify right side
    6,267.82x = 41,172,544.27
  5. Step 5: Solve for x
    x = 41,172,544.27/6,267.82
  6. Step 6: Final answer
    x = 6,568.88

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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.