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Finding the Fourth Proportional to 6,568.56, 9,845.85 and 3,274.29

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Solution

The fourth proportional to 6,568.56, 9,845.85 and 3,274.29 is: 4,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.56 : 9,845.85 = 3,274.29 : x
  2. Step 2: Convert to fraction form
    6,568.56/9,845.85 = 3,274.29/x
  3. Step 3: Cross multiply
    6,568.56x = 9,845.85 × 3,274.29
  4. Step 4: Simplify right side
    6,568.56x = 32,238,180.48
  5. Step 5: Solve for x
    x = 32,238,180.48/6,568.56
  6. Step 6: Final answer
    x = 4,907.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.