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Finding the Fourth Proportional to 12,556, 18,834 and 7,084

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Solution

The fourth proportional to 12,556, 18,834 and 7,084 is: 10,626

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556 : 18,834 = 7,084 : x
  2. Step 2: Convert to fraction form
    12,556/18,834 = 7,084/x
  3. Step 3: Cross multiply
    12,556x = 18,834 × 7,084
  4. Step 4: Simplify right side
    12,556x = 133,420,056
  5. Step 5: Solve for x
    x = 133,420,056/12,556
  6. Step 6: Final answer
    x = 10,626

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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.