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Finding the Fourth Proportional to 6,081.50, 9,123.45 and 1,922.12

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Solution

The fourth proportional to 6,081.50, 9,123.45 and 1,922.12 is: 2,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,081.50 : 9,123.45 = 1,922.12 : x
  2. Step 2: Convert to fraction form
    6,081.50/9,123.45 = 1,922.12/x
  3. Step 3: Cross multiply
    6,081.50x = 9,123.45 × 1,922.12
  4. Step 4: Simplify right side
    6,081.50x = 17,536,365.71
  5. Step 5: Solve for x
    x = 17,536,365.71/6,081.50
  6. Step 6: Final answer
    x = 2,883.56

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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.