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Finding the Fourth Proportional to 10,966, 16,449 and 3,670

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Solution

The fourth proportional to 10,966, 16,449 and 3,670 is: 5,505

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966 : 16,449 = 3,670 : x
  2. Step 2: Convert to fraction form
    10,966/16,449 = 3,670/x
  3. Step 3: Cross multiply
    10,966x = 16,449 × 3,670
  4. Step 4: Simplify right side
    10,966x = 60,367,830
  5. Step 5: Solve for x
    x = 60,367,830/10,966
  6. Step 6: Final answer
    x = 5,505

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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.