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Finding the Fourth Proportional to 8,184, 12,276 and 2,712

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Solution

The fourth proportional to 8,184, 12,276 and 2,712 is: 4,068

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184 : 12,276 = 2,712 : x
  2. Step 2: Convert to fraction form
    8,184/12,276 = 2,712/x
  3. Step 3: Cross multiply
    8,184x = 12,276 × 2,712
  4. Step 4: Simplify right side
    8,184x = 33,292,512
  5. Step 5: Solve for x
    x = 33,292,512/8,184
  6. Step 6: Final answer
    x = 4,068

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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.