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Finding the Fourth Proportional to 7,694.92, 10,624.02 and 5,923.24

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Solution

The fourth proportional to 7,694.92, 10,624.02 and 5,923.24 is: 8,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.92 : 10,624.02 = 5,923.24 : x
  2. Step 2: Convert to fraction form
    7,694.92/10,624.02 = 5,923.24/x
  3. Step 3: Cross multiply
    7,694.92x = 10,624.02 × 5,923.24
  4. Step 4: Simplify right side
    7,694.92x = 62,928,620.22
  5. Step 5: Solve for x
    x = 62,928,620.22/7,694.92
  6. Step 6: Final answer
    x = 8,177.94

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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.