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Finding the Fourth Proportional to 12,866, 19,299 and 3,138

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Solution

The fourth proportional to 12,866, 19,299 and 3,138 is: 4,707

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866 : 19,299 = 3,138 : x
  2. Step 2: Convert to fraction form
    12,866/19,299 = 3,138/x
  3. Step 3: Cross multiply
    12,866x = 19,299 × 3,138
  4. Step 4: Simplify right side
    12,866x = 60,560,262
  5. Step 5: Solve for x
    x = 60,560,262/12,866
  6. Step 6: Final answer
    x = 4,707

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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.