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Finding the Fourth Proportional to 6,182, 9,273.96 and 2,078.96

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Solution

The fourth proportional to 6,182, 9,273.96 and 2,078.96 is: 3,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182 : 9,273.96 = 2,078.96 : x
  2. Step 2: Convert to fraction form
    6,182/9,273.96 = 2,078.96/x
  3. Step 3: Cross multiply
    6,182x = 9,273.96 × 2,078.96
  4. Step 4: Simplify right side
    6,182x = 19,280,191.88
  5. Step 5: Solve for x
    x = 19,280,191.88/6,182
  6. Step 6: Final answer
    x = 3,118.76

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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.