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Finding the Fourth Proportional to 6,463, 9,694.50 and 1,846

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Solution

The fourth proportional to 6,463, 9,694.50 and 1,846 is: 2,769

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463 : 9,694.50 = 1,846 : x
  2. Step 2: Convert to fraction form
    6,463/9,694.50 = 1,846/x
  3. Step 3: Cross multiply
    6,463x = 9,694.50 × 1,846
  4. Step 4: Simplify right side
    6,463x = 17,896,047
  5. Step 5: Solve for x
    x = 17,896,047/6,463
  6. Step 6: Final answer
    x = 2,769

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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.