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Finding the Fourth Proportional to 7,183.70, 10,775.55 and 6,233.30

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Solution

The fourth proportional to 7,183.70, 10,775.55 and 6,233.30 is: 9,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.70 : 10,775.55 = 6,233.30 : x
  2. Step 2: Convert to fraction form
    7,183.70/10,775.55 = 6,233.30/x
  3. Step 3: Cross multiply
    7,183.70x = 10,775.55 × 6,233.30
  4. Step 4: Simplify right side
    7,183.70x = 67,167,235.82
  5. Step 5: Solve for x
    x = 67,167,235.82/7,183.70
  6. Step 6: Final answer
    x = 9,349.95

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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.