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Finding the Fourth Proportional to 11,737, 16,198.50 and 6,769

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Solution

The fourth proportional to 11,737, 16,198.50 and 6,769 is: 9,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737 : 16,198.50 = 6,769 : x
  2. Step 2: Convert to fraction form
    11,737/16,198.50 = 6,769/x
  3. Step 3: Cross multiply
    11,737x = 16,198.50 × 6,769
  4. Step 4: Simplify right side
    11,737x = 109,647,646.50
  5. Step 5: Solve for x
    x = 109,647,646.50/11,737
  6. Step 6: Final answer
    x = 9,342.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.