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Finding the Fourth Proportional to 6,310.36, 9,452.56 and 3,707

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Solution

The fourth proportional to 6,310.36, 9,452.56 and 3,707 is: 5,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.36 : 9,452.56 = 3,707 : x
  2. Step 2: Convert to fraction form
    6,310.36/9,452.56 = 3,707/x
  3. Step 3: Cross multiply
    6,310.36x = 9,452.56 × 3,707
  4. Step 4: Simplify right side
    6,310.36x = 35,040,639.92
  5. Step 5: Solve for x
    x = 35,040,639.92/6,310.36
  6. Step 6: Final answer
    x = 5,552.87

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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.