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Finding the Fourth Proportional to 7,222.80, 10,834.20 and 6,819.60

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Solution

The fourth proportional to 7,222.80, 10,834.20 and 6,819.60 is: 10,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.80 : 10,834.20 = 6,819.60 : x
  2. Step 2: Convert to fraction form
    7,222.80/10,834.20 = 6,819.60/x
  3. Step 3: Cross multiply
    7,222.80x = 10,834.20 × 6,819.60
  4. Step 4: Simplify right side
    7,222.80x = 73,884,910.32
  5. Step 5: Solve for x
    x = 73,884,910.32/7,222.80
  6. Step 6: Final answer
    x = 10,229.40

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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.