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Finding the Fourth Proportional to 6,198.50, 9,299.27 and 2,907.77

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Solution

The fourth proportional to 6,198.50, 9,299.27 and 2,907.77 is: 4,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.50 : 9,299.27 = 2,907.77 : x
  2. Step 2: Convert to fraction form
    6,198.50/9,299.27 = 2,907.77/x
  3. Step 3: Cross multiply
    6,198.50x = 9,299.27 × 2,907.77
  4. Step 4: Simplify right side
    6,198.50x = 27,040,099.10
  5. Step 5: Solve for x
    x = 27,040,099.10/6,198.50
  6. Step 6: Final answer
    x = 4,362.36

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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.