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Finding the Fourth Proportional to 6,163.85, 9,234 and 4,077.69

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Solution

The fourth proportional to 6,163.85, 9,234 and 4,077.69 is: 6,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.85 : 9,234 = 4,077.69 : x
  2. Step 2: Convert to fraction form
    6,163.85/9,234 = 4,077.69/x
  3. Step 3: Cross multiply
    6,163.85x = 9,234 × 4,077.69
  4. Step 4: Simplify right side
    6,163.85x = 37,653,406.77
  5. Step 5: Solve for x
    x = 37,653,406.77/6,163.85
  6. Step 6: Final answer
    x = 6,108.75

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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.