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Finding the Fourth Proportional to 7,494, 11,242.82 and 2,496.36

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Solution

The fourth proportional to 7,494, 11,242.82 and 2,496.36 is: 3,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494 : 11,242.82 = 2,496.36 : x
  2. Step 2: Convert to fraction form
    7,494/11,242.82 = 2,496.36/x
  3. Step 3: Cross multiply
    7,494x = 11,242.82 × 2,496.36
  4. Step 4: Simplify right side
    7,494x = 28,066,126.14
  5. Step 5: Solve for x
    x = 28,066,126.14/7,494
  6. Step 6: Final answer
    x = 3,745.15

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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.