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Finding the Fourth Proportional to 8,228, 12,342 and 2,072

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Solution

The fourth proportional to 8,228, 12,342 and 2,072 is: 3,108

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228 : 12,342 = 2,072 : x
  2. Step 2: Convert to fraction form
    8,228/12,342 = 2,072/x
  3. Step 3: Cross multiply
    8,228x = 12,342 × 2,072
  4. Step 4: Simplify right side
    8,228x = 25,572,624
  5. Step 5: Solve for x
    x = 25,572,624/8,228
  6. Step 6: Final answer
    x = 3,108

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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.