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Finding the Fourth Proportional to 11,673, 16,110 and 6,705

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Solution

The fourth proportional to 11,673, 16,110 and 6,705 is: 9,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673 : 16,110 = 6,705 : x
  2. Step 2: Convert to fraction form
    11,673/16,110 = 6,705/x
  3. Step 3: Cross multiply
    11,673x = 16,110 × 6,705
  4. Step 4: Simplify right side
    11,673x = 108,017,550
  5. Step 5: Solve for x
    x = 108,017,550/11,673
  6. Step 6: Final answer
    x = 9,253.62

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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.