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Finding the Fourth Proportional to 6,198.98, 9,302.99 and 2,914.36

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Solution

The fourth proportional to 6,198.98, 9,302.99 and 2,914.36 is: 4,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.98 : 9,302.99 = 2,914.36 : x
  2. Step 2: Convert to fraction form
    6,198.98/9,302.99 = 2,914.36/x
  3. Step 3: Cross multiply
    6,198.98x = 9,302.99 × 2,914.36
  4. Step 4: Simplify right side
    6,198.98x = 27,112,224.11
  5. Step 5: Solve for x
    x = 27,112,224.11/6,198.98
  6. Step 6: Final answer
    x = 4,373.66

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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.