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Finding the Fourth Proportional to 6,103, 9,159.09 and 3,181.06

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Solution

The fourth proportional to 6,103, 9,159.09 and 3,181.06 is: 4,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103 : 9,159.09 = 3,181.06 : x
  2. Step 2: Convert to fraction form
    6,103/9,159.09 = 3,181.06/x
  3. Step 3: Cross multiply
    6,103x = 9,159.09 × 3,181.06
  4. Step 4: Simplify right side
    6,103x = 29,135,614.84
  5. Step 5: Solve for x
    x = 29,135,614.84/6,103
  6. Step 6: Final answer
    x = 4,773.98

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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.