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Finding the Fourth Proportional to 6,198.50, 9,295.32 and 2,300.24

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Solution

The fourth proportional to 6,198.50, 9,295.32 and 2,300.24 is: 3,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.50 : 9,295.32 = 2,300.24 : x
  2. Step 2: Convert to fraction form
    6,198.50/9,295.32 = 2,300.24/x
  3. Step 3: Cross multiply
    6,198.50x = 9,295.32 × 2,300.24
  4. Step 4: Simplify right side
    6,198.50x = 21,381,466.88
  5. Step 5: Solve for x
    x = 21,381,466.88/6,198.50
  6. Step 6: Final answer
    x = 3,449.46

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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.