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Finding the Fourth Proportional to 7,198.13, 10,798.56 and 2,815.31

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Solution

The fourth proportional to 7,198.13, 10,798.56 and 2,815.31 is: 4,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.13 : 10,798.56 = 2,815.31 : x
  2. Step 2: Convert to fraction form
    7,198.13/10,798.56 = 2,815.31/x
  3. Step 3: Cross multiply
    7,198.13x = 10,798.56 × 2,815.31
  4. Step 4: Simplify right side
    7,198.13x = 30,401,320.95
  5. Step 5: Solve for x
    x = 30,401,320.95/7,198.13
  6. Step 6: Final answer
    x = 4,223.50

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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.