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Finding the Fourth Proportional to 6,198.50, 9,299.10 and 2,038.88

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Solution

The fourth proportional to 6,198.50, 9,299.10 and 2,038.88 is: 3,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.50 : 9,299.10 = 2,038.88 : x
  2. Step 2: Convert to fraction form
    6,198.50/9,299.10 = 2,038.88/x
  3. Step 3: Cross multiply
    6,198.50x = 9,299.10 × 2,038.88
  4. Step 4: Simplify right side
    6,198.50x = 18,959,749.01
  5. Step 5: Solve for x
    x = 18,959,749.01/6,198.50
  6. Step 6: Final answer
    x = 3,058.76

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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.