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Finding the Fourth Proportional to 6,424.14, 8,865.57 and 3,771.42

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Solution

The fourth proportional to 6,424.14, 8,865.57 and 3,771.42 is: 5,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.14 : 8,865.57 = 3,771.42 : x
  2. Step 2: Convert to fraction form
    6,424.14/8,865.57 = 3,771.42/x
  3. Step 3: Cross multiply
    6,424.14x = 8,865.57 × 3,771.42
  4. Step 4: Simplify right side
    6,424.14x = 33,435,788.01
  5. Step 5: Solve for x
    x = 33,435,788.01/6,424.14
  6. Step 6: Final answer
    x = 5,204.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.