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Finding the Fourth Proportional to 6,731, 10,098.12 and 2,114

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Solution

The fourth proportional to 6,731, 10,098.12 and 2,114 is: 3,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731 : 10,098.12 = 2,114 : x
  2. Step 2: Convert to fraction form
    6,731/10,098.12 = 2,114/x
  3. Step 3: Cross multiply
    6,731x = 10,098.12 × 2,114
  4. Step 4: Simplify right side
    6,731x = 21,347,425.68
  5. Step 5: Solve for x
    x = 21,347,425.68/6,731
  6. Step 6: Final answer
    x = 3,171.51

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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.