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Finding the Fourth Proportional to 6,201.54, 9,299.04 and 3,568.50

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Solution

The fourth proportional to 6,201.54, 9,299.04 and 3,568.50 is: 5,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.54 : 9,299.04 = 3,568.50 : x
  2. Step 2: Convert to fraction form
    6,201.54/9,299.04 = 3,568.50/x
  3. Step 3: Cross multiply
    6,201.54x = 9,299.04 × 3,568.50
  4. Step 4: Simplify right side
    6,201.54x = 33,183,624.24
  5. Step 5: Solve for x
    x = 33,183,624.24/6,201.54
  6. Step 6: Final answer
    x = 5,350.87

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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.