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Finding the Fourth Proportional to 6,163.48, 9,249 and 2,267.92

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Solution

The fourth proportional to 6,163.48, 9,249 and 2,267.92 is: 3,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.48 : 9,249 = 2,267.92 : x
  2. Step 2: Convert to fraction form
    6,163.48/9,249 = 2,267.92/x
  3. Step 3: Cross multiply
    6,163.48x = 9,249 × 2,267.92
  4. Step 4: Simplify right side
    6,163.48x = 20,975,992.08
  5. Step 5: Solve for x
    x = 20,975,992.08/6,163.48
  6. Step 6: Final answer
    x = 3,403.27

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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.