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Finding the Fourth Proportional to 7,446.38, 11,174.97 and 3,066.62

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Solution

The fourth proportional to 7,446.38, 11,174.97 and 3,066.62 is: 4,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.38 : 11,174.97 = 3,066.62 : x
  2. Step 2: Convert to fraction form
    7,446.38/11,174.97 = 3,066.62/x
  3. Step 3: Cross multiply
    7,446.38x = 11,174.97 × 3,066.62
  4. Step 4: Simplify right side
    7,446.38x = 34,269,386.50
  5. Step 5: Solve for x
    x = 34,269,386.50/7,446.38
  6. Step 6: Final answer
    x = 4,602.15

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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.