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Finding the Fourth Proportional to 6,163, 9,243.82 and 1,546

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Solution

The fourth proportional to 6,163, 9,243.82 and 1,546 is: 2,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163 : 9,243.82 = 1,546 : x
  2. Step 2: Convert to fraction form
    6,163/9,243.82 = 1,546/x
  3. Step 3: Cross multiply
    6,163x = 9,243.82 × 1,546
  4. Step 4: Simplify right side
    6,163x = 14,290,945.72
  5. Step 5: Solve for x
    x = 14,290,945.72/6,163
  6. Step 6: Final answer
    x = 2,318.83

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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.