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Finding the Fourth Proportional to 6,074.36, 9,107.91 and 2,372.25

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Solution

The fourth proportional to 6,074.36, 9,107.91 and 2,372.25 is: 3,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.36 : 9,107.91 = 2,372.25 : x
  2. Step 2: Convert to fraction form
    6,074.36/9,107.91 = 2,372.25/x
  3. Step 3: Cross multiply
    6,074.36x = 9,107.91 × 2,372.25
  4. Step 4: Simplify right side
    6,074.36x = 21,606,239.50
  5. Step 5: Solve for x
    x = 21,606,239.50/6,074.36
  6. Step 6: Final answer
    x = 3,556.96

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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.