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Finding the Fourth Proportional to 6,814.84, 10,221.78 and 1,816.83

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Solution

The fourth proportional to 6,814.84, 10,221.78 and 1,816.83 is: 2,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.84 : 10,221.78 = 1,816.83 : x
  2. Step 2: Convert to fraction form
    6,814.84/10,221.78 = 1,816.83/x
  3. Step 3: Cross multiply
    6,814.84x = 10,221.78 × 1,816.83
  4. Step 4: Simplify right side
    6,814.84x = 18,571,236.56
  5. Step 5: Solve for x
    x = 18,571,236.56/6,814.84
  6. Step 6: Final answer
    x = 2,725.12

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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.