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Finding the Fourth Proportional to 6,099.43, 9,150 and 1,939

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Solution

The fourth proportional to 6,099.43, 9,150 and 1,939 is: 2,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.43 : 9,150 = 1,939 : x
  2. Step 2: Convert to fraction form
    6,099.43/9,150 = 1,939/x
  3. Step 3: Cross multiply
    6,099.43x = 9,150 × 1,939
  4. Step 4: Simplify right side
    6,099.43x = 17,741,850
  5. Step 5: Solve for x
    x = 17,741,850/6,099.43
  6. Step 6: Final answer
    x = 2,908.77

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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.