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Finding the Fourth Proportional to 6,824.80, 10,222.80 and 5,672.80

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Solution

The fourth proportional to 6,824.80, 10,222.80 and 5,672.80 is: 8,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.80 : 10,222.80 = 5,672.80 : x
  2. Step 2: Convert to fraction form
    6,824.80/10,222.80 = 5,672.80/x
  3. Step 3: Cross multiply
    6,824.80x = 10,222.80 × 5,672.80
  4. Step 4: Simplify right side
    6,824.80x = 57,991,899.84
  5. Step 5: Solve for x
    x = 57,991,899.84/6,824.80
  6. Step 6: Final answer
    x = 8,497.23

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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.