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Finding the Fourth Proportional to 6,166.77, 9,247.72 and 2,468.31

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Solution

The fourth proportional to 6,166.77, 9,247.72 and 2,468.31 is: 3,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.77 : 9,247.72 = 2,468.31 : x
  2. Step 2: Convert to fraction form
    6,166.77/9,247.72 = 2,468.31/x
  3. Step 3: Cross multiply
    6,166.77x = 9,247.72 × 2,468.31
  4. Step 4: Simplify right side
    6,166.77x = 22,826,239.75
  5. Step 5: Solve for x
    x = 22,826,239.75/6,166.77
  6. Step 6: Final answer
    x = 3,701.49

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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.