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Finding the Fourth Proportional to 6,068, 9,100.98 and 2,119.82

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Solution

The fourth proportional to 6,068, 9,100.98 and 2,119.82 is: 3,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068 : 9,100.98 = 2,119.82 : x
  2. Step 2: Convert to fraction form
    6,068/9,100.98 = 2,119.82/x
  3. Step 3: Cross multiply
    6,068x = 9,100.98 × 2,119.82
  4. Step 4: Simplify right side
    6,068x = 19,292,439.42
  5. Step 5: Solve for x
    x = 19,292,439.42/6,068
  6. Step 6: Final answer
    x = 3,179.37

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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.