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Finding the Fourth Proportional to 7,491.62, 11,237 and 2,297.48

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Solution

The fourth proportional to 7,491.62, 11,237 and 2,297.48 is: 3,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.62 : 11,237 = 2,297.48 : x
  2. Step 2: Convert to fraction form
    7,491.62/11,237 = 2,297.48/x
  3. Step 3: Cross multiply
    7,491.62x = 11,237 × 2,297.48
  4. Step 4: Simplify right side
    7,491.62x = 25,816,782.76
  5. Step 5: Solve for x
    x = 25,816,782.76/7,491.62
  6. Step 6: Final answer
    x = 3,446.09

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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.