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Finding the Fourth Proportional to 6,471.73, 9,709.17 and 4,618.27

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Solution

The fourth proportional to 6,471.73, 9,709.17 and 4,618.27 is: 6,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.73 : 9,709.17 = 4,618.27 : x
  2. Step 2: Convert to fraction form
    6,471.73/9,709.17 = 4,618.27/x
  3. Step 3: Cross multiply
    6,471.73x = 9,709.17 × 4,618.27
  4. Step 4: Simplify right side
    6,471.73x = 44,839,568.54
  5. Step 5: Solve for x
    x = 44,839,568.54/6,471.73
  6. Step 6: Final answer
    x = 6,928.53

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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.