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Finding the Fourth Proportional to 10,966, 16,449 and 3,174.88

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Solution

The fourth proportional to 10,966, 16,449 and 3,174.88 is: 4,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966 : 16,449 = 3,174.88 : x
  2. Step 2: Convert to fraction form
    10,966/16,449 = 3,174.88/x
  3. Step 3: Cross multiply
    10,966x = 16,449 × 3,174.88
  4. Step 4: Simplify right side
    10,966x = 52,223,601.12
  5. Step 5: Solve for x
    x = 52,223,601.12/10,966
  6. Step 6: Final answer
    x = 4,762.32

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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.