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Finding the Fourth Proportional to 6,299.64, 8,694 and 4,061.88

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Solution

The fourth proportional to 6,299.64, 8,694 and 4,061.88 is: 5,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.64 : 8,694 = 4,061.88 : x
  2. Step 2: Convert to fraction form
    6,299.64/8,694 = 4,061.88/x
  3. Step 3: Cross multiply
    6,299.64x = 8,694 × 4,061.88
  4. Step 4: Simplify right side
    6,299.64x = 35,313,984.72
  5. Step 5: Solve for x
    x = 35,313,984.72/6,299.64
  6. Step 6: Final answer
    x = 5,605.71

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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.