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Finding the Fourth Proportional to 6,815.20, 10,222.80 and 3,529.30

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Solution

The fourth proportional to 6,815.20, 10,222.80 and 3,529.30 is: 5,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.20 : 10,222.80 = 3,529.30 : x
  2. Step 2: Convert to fraction form
    6,815.20/10,222.80 = 3,529.30/x
  3. Step 3: Cross multiply
    6,815.20x = 10,222.80 × 3,529.30
  4. Step 4: Simplify right side
    6,815.20x = 36,079,328.04
  5. Step 5: Solve for x
    x = 36,079,328.04/6,815.20
  6. Step 6: Final answer
    x = 5,293.95

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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.