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Finding the Fourth Proportional to 16,278, 24,417 and 3,966

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Solution

The fourth proportional to 16,278, 24,417 and 3,966 is: 5,949

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278 : 24,417 = 3,966 : x
  2. Step 2: Convert to fraction form
    16,278/24,417 = 3,966/x
  3. Step 3: Cross multiply
    16,278x = 24,417 × 3,966
  4. Step 4: Simplify right side
    16,278x = 96,837,822
  5. Step 5: Solve for x
    x = 96,837,822/16,278
  6. Step 6: Final answer
    x = 5,949

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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.