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Finding the Fourth Proportional to 12,224, 16,869.14 and 6,635

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Solution

The fourth proportional to 12,224, 16,869.14 and 6,635 is: 9,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224 : 16,869.14 = 6,635 : x
  2. Step 2: Convert to fraction form
    12,224/16,869.14 = 6,635/x
  3. Step 3: Cross multiply
    12,224x = 16,869.14 × 6,635
  4. Step 4: Simplify right side
    12,224x = 111,926,710.73
  5. Step 5: Solve for x
    x = 111,926,710.73/12,224
  6. Step 6: Final answer
    x = 9,156.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.