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Finding the Fourth Proportional to 7,249.98, 10,857.60 and 6,204

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Solution

The fourth proportional to 7,249.98, 10,857.60 and 6,204 is: 9,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.98 : 10,857.60 = 6,204 : x
  2. Step 2: Convert to fraction form
    7,249.98/10,857.60 = 6,204/x
  3. Step 3: Cross multiply
    7,249.98x = 10,857.60 × 6,204
  4. Step 4: Simplify right side
    7,249.98x = 67,360,550.40
  5. Step 5: Solve for x
    x = 67,360,550.40/7,249.98
  6. Step 6: Final answer
    x = 9,291.14

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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.