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Finding the Fourth Proportional to 6,815.07, 10,225.16 and 2,198.07

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Solution

The fourth proportional to 6,815.07, 10,225.16 and 2,198.07 is: 3,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.07 : 10,225.16 = 2,198.07 : x
  2. Step 2: Convert to fraction form
    6,815.07/10,225.16 = 2,198.07/x
  3. Step 3: Cross multiply
    6,815.07x = 10,225.16 × 2,198.07
  4. Step 4: Simplify right side
    6,815.07x = 22,475,606.45
  5. Step 5: Solve for x
    x = 22,475,606.45/6,815.07
  6. Step 6: Final answer
    x = 3,297.93

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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.