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Finding the Fourth Proportional to 6,061.98, 9,095.81 and 3,138.69

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Solution

The fourth proportional to 6,061.98, 9,095.81 and 3,138.69 is: 4,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.98 : 9,095.81 = 3,138.69 : x
  2. Step 2: Convert to fraction form
    6,061.98/9,095.81 = 3,138.69/x
  3. Step 3: Cross multiply
    6,061.98x = 9,095.81 × 3,138.69
  4. Step 4: Simplify right side
    6,061.98x = 28,548,912.20
  5. Step 5: Solve for x
    x = 28,548,912.20/6,061.98
  6. Step 6: Final answer
    x = 4,709.50

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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.