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Finding the Fourth Proportional to 7,712.25, 11,568.94 and 6,794.16

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Solution

The fourth proportional to 7,712.25, 11,568.94 and 6,794.16 is: 10,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.25 : 11,568.94 = 6,794.16 : x
  2. Step 2: Convert to fraction form
    7,712.25/11,568.94 = 6,794.16/x
  3. Step 3: Cross multiply
    7,712.25x = 11,568.94 × 6,794.16
  4. Step 4: Simplify right side
    7,712.25x = 78,601,229.39
  5. Step 5: Solve for x
    x = 78,601,229.39/7,712.25
  6. Step 6: Final answer
    x = 10,191.74

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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.