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Finding the Fourth Proportional to 7,811.82, 11,715.84 and 2,883.78

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Solution

The fourth proportional to 7,811.82, 11,715.84 and 2,883.78 is: 4,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.82 : 11,715.84 = 2,883.78 : x
  2. Step 2: Convert to fraction form
    7,811.82/11,715.84 = 2,883.78/x
  3. Step 3: Cross multiply
    7,811.82x = 11,715.84 × 2,883.78
  4. Step 4: Simplify right side
    7,811.82x = 33,785,905.08
  5. Step 5: Solve for x
    x = 33,785,905.08/7,811.82
  6. Step 6: Final answer
    x = 4,324.97

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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.