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Finding the Fourth Proportional to 34,110, 51,165 and 9,486

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Solution

The fourth proportional to 34,110, 51,165 and 9,486 is: 14,229

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,110 : 51,165 = 9,486 : x
  2. Step 2: Convert to fraction form
    34,110/51,165 = 9,486/x
  3. Step 3: Cross multiply
    34,110x = 51,165 × 9,486
  4. Step 4: Simplify right side
    34,110x = 485,351,190
  5. Step 5: Solve for x
    x = 485,351,190/34,110
  6. Step 6: Final answer
    x = 14,229

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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.