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Finding the Fourth Proportional to 6,109, 9,163.94 and 4,475.88

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Solution

The fourth proportional to 6,109, 9,163.94 and 4,475.88 is: 6,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109 : 9,163.94 = 4,475.88 : x
  2. Step 2: Convert to fraction form
    6,109/9,163.94 = 4,475.88/x
  3. Step 3: Cross multiply
    6,109x = 9,163.94 × 4,475.88
  4. Step 4: Simplify right side
    6,109x = 41,016,695.77
  5. Step 5: Solve for x
    x = 41,016,695.77/6,109
  6. Step 6: Final answer
    x = 6,714.14

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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.