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Finding the Fourth Proportional to 6,581.64, 9,874.90 and 3,073.62

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Solution

The fourth proportional to 6,581.64, 9,874.90 and 3,073.62 is: 4,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.64 : 9,874.90 = 3,073.62 : x
  2. Step 2: Convert to fraction form
    6,581.64/9,874.90 = 3,073.62/x
  3. Step 3: Cross multiply
    6,581.64x = 9,874.90 × 3,073.62
  4. Step 4: Simplify right side
    6,581.64x = 30,351,690.14
  5. Step 5: Solve for x
    x = 30,351,690.14/6,581.64
  6. Step 6: Final answer
    x = 4,611.57

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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.