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Finding the Fourth Proportional to 6,974.56, 10,463.01 and 3,464.74

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Solution

The fourth proportional to 6,974.56, 10,463.01 and 3,464.74 is: 5,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.56 : 10,463.01 = 3,464.74 : x
  2. Step 2: Convert to fraction form
    6,974.56/10,463.01 = 3,464.74/x
  3. Step 3: Cross multiply
    6,974.56x = 10,463.01 × 3,464.74
  4. Step 4: Simplify right side
    6,974.56x = 36,251,609.27
  5. Step 5: Solve for x
    x = 36,251,609.27/6,974.56
  6. Step 6: Final answer
    x = 5,197.69

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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.