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Finding the Fourth Proportional to 7,450.01, 11,175 and 1,903.14

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Solution

The fourth proportional to 7,450.01, 11,175 and 1,903.14 is: 2,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.01 : 11,175 = 1,903.14 : x
  2. Step 2: Convert to fraction form
    7,450.01/11,175 = 1,903.14/x
  3. Step 3: Cross multiply
    7,450.01x = 11,175 × 1,903.14
  4. Step 4: Simplify right side
    7,450.01x = 21,267,589.50
  5. Step 5: Solve for x
    x = 21,267,589.50/7,450.01
  6. Step 6: Final answer
    x = 2,854.71

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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.