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Finding the Fourth Proportional to 8,196, 12,294 and 2,724

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Solution

The fourth proportional to 8,196, 12,294 and 2,724 is: 4,086

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196 : 12,294 = 2,724 : x
  2. Step 2: Convert to fraction form
    8,196/12,294 = 2,724/x
  3. Step 3: Cross multiply
    8,196x = 12,294 × 2,724
  4. Step 4: Simplify right side
    8,196x = 33,488,856
  5. Step 5: Solve for x
    x = 33,488,856/8,196
  6. Step 6: Final answer
    x = 4,086

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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.