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Finding the Fourth Proportional to 6,414.87, 9,603.60 and 3,942.16

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Solution

The fourth proportional to 6,414.87, 9,603.60 and 3,942.16 is: 5,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.87 : 9,603.60 = 3,942.16 : x
  2. Step 2: Convert to fraction form
    6,414.87/9,603.60 = 3,942.16/x
  3. Step 3: Cross multiply
    6,414.87x = 9,603.60 × 3,942.16
  4. Step 4: Simplify right side
    6,414.87x = 37,858,927.78
  5. Step 5: Solve for x
    x = 37,858,927.78/6,414.87
  6. Step 6: Final answer
    x = 5,901.75

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1.5x scale

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.