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Finding the Fourth Proportional to 12,294, 18,441 and 4,086

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Solution

The fourth proportional to 12,294, 18,441 and 4,086 is: 6,129

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294 : 18,441 = 4,086 : x
  2. Step 2: Convert to fraction form
    12,294/18,441 = 4,086/x
  3. Step 3: Cross multiply
    12,294x = 18,441 × 4,086
  4. Step 4: Simplify right side
    12,294x = 75,349,926
  5. Step 5: Solve for x
    x = 75,349,926/12,294
  6. Step 6: Final answer
    x = 6,129

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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.