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Finding the Fourth Proportional to 13,098.25, 19,651.16 and 3,864.25

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Solution

The fourth proportional to 13,098.25, 19,651.16 and 3,864.25 is: 5,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.25 : 19,651.16 = 3,864.25 : x
  2. Step 2: Convert to fraction form
    13,098.25/19,651.16 = 3,864.25/x
  3. Step 3: Cross multiply
    13,098.25x = 19,651.16 × 3,864.25
  4. Step 4: Simplify right side
    13,098.25x = 75,936,995.03
  5. Step 5: Solve for x
    x = 75,936,995.03/13,098.25
  6. Step 6: Final answer
    x = 5,797.49

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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.