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Finding the Fourth Proportional to 7,471.92, 10,324.44 and 5,912.40

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Solution

The fourth proportional to 7,471.92, 10,324.44 and 5,912.40 is: 8,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.92 : 10,324.44 = 5,912.40 : x
  2. Step 2: Convert to fraction form
    7,471.92/10,324.44 = 5,912.40/x
  3. Step 3: Cross multiply
    7,471.92x = 10,324.44 × 5,912.40
  4. Step 4: Simplify right side
    7,471.92x = 61,042,219.06
  5. Step 5: Solve for x
    x = 61,042,219.06/7,471.92
  6. Step 6: Final answer
    x = 8,169.55

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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.