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Finding the Fourth Proportional to 12,463, 17,198.94 and 7,495

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Solution

The fourth proportional to 12,463, 17,198.94 and 7,495 is: 10,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463 : 17,198.94 = 7,495 : x
  2. Step 2: Convert to fraction form
    12,463/17,198.94 = 7,495/x
  3. Step 3: Cross multiply
    12,463x = 17,198.94 × 7,495
  4. Step 4: Simplify right side
    12,463x = 128,906,055.30
  5. Step 5: Solve for x
    x = 128,906,055.30/12,463
  6. Step 6: Final answer
    x = 10,343.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.