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Finding the Fourth Proportional to 8,556, 12,834 and 3,084

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Solution

The fourth proportional to 8,556, 12,834 and 3,084 is: 4,626

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,556 : 12,834 = 3,084 : x
  2. Step 2: Convert to fraction form
    8,556/12,834 = 3,084/x
  3. Step 3: Cross multiply
    8,556x = 12,834 × 3,084
  4. Step 4: Simplify right side
    8,556x = 39,580,056
  5. Step 5: Solve for x
    x = 39,580,056/8,556
  6. Step 6: Final answer
    x = 4,626

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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.