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Finding the Fourth Proportional to 6,808.22, 10,212.21 and 1,877.84

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Solution

The fourth proportional to 6,808.22, 10,212.21 and 1,877.84 is: 2,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.22 : 10,212.21 = 1,877.84 : x
  2. Step 2: Convert to fraction form
    6,808.22/10,212.21 = 1,877.84/x
  3. Step 3: Cross multiply
    6,808.22x = 10,212.21 × 1,877.84
  4. Step 4: Simplify right side
    6,808.22x = 19,176,896.43
  5. Step 5: Solve for x
    x = 19,176,896.43/6,808.22
  6. Step 6: Final answer
    x = 2,816.73

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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.