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Finding the Fourth Proportional to 43,278, 64,917 and 10,446

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Solution

The fourth proportional to 43,278, 64,917 and 10,446 is: 15,669

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,278 : 64,917 = 10,446 : x
  2. Step 2: Convert to fraction form
    43,278/64,917 = 10,446/x
  3. Step 3: Cross multiply
    43,278x = 64,917 × 10,446
  4. Step 4: Simplify right side
    43,278x = 678,122,982
  5. Step 5: Solve for x
    x = 678,122,982/43,278
  6. Step 6: Final answer
    x = 15,669

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.