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Finding the Fourth Proportional to 6,822.56, 10,222.88 and 5,729.06

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Solution

The fourth proportional to 6,822.56, 10,222.88 and 5,729.06 is: 8,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.56 : 10,222.88 = 5,729.06 : x
  2. Step 2: Convert to fraction form
    6,822.56/10,222.88 = 5,729.06/x
  3. Step 3: Cross multiply
    6,822.56x = 10,222.88 × 5,729.06
  4. Step 4: Simplify right side
    6,822.56x = 58,567,489.80
  5. Step 5: Solve for x
    x = 58,567,489.80/6,822.56
  6. Step 6: Final answer
    x = 8,584.38

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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.