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Finding the Fourth Proportional to 14,966, 22,449 and 4,022

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Solution

The fourth proportional to 14,966, 22,449 and 4,022 is: 6,033

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966 : 22,449 = 4,022 : x
  2. Step 2: Convert to fraction form
    14,966/22,449 = 4,022/x
  3. Step 3: Cross multiply
    14,966x = 22,449 × 4,022
  4. Step 4: Simplify right side
    14,966x = 90,289,878
  5. Step 5: Solve for x
    x = 90,289,878/14,966
  6. Step 6: Final answer
    x = 6,033

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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.