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Finding the Fourth Proportional to 11,463, 17,194.50 and 3,255

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Solution

The fourth proportional to 11,463, 17,194.50 and 3,255 is: 4,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463 : 17,194.50 = 3,255 : x
  2. Step 2: Convert to fraction form
    11,463/17,194.50 = 3,255/x
  3. Step 3: Cross multiply
    11,463x = 17,194.50 × 3,255
  4. Step 4: Simplify right side
    11,463x = 55,968,097.50
  5. Step 5: Solve for x
    x = 55,968,097.50/11,463
  6. Step 6: Final answer
    x = 4,882.50

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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.