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Finding the Fourth Proportional to 6,804.56, 10,209.49 and 5,500.46

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Solution

The fourth proportional to 6,804.56, 10,209.49 and 5,500.46 is: 8,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.56 : 10,209.49 = 5,500.46 : x
  2. Step 2: Convert to fraction form
    6,804.56/10,209.49 = 5,500.46/x
  3. Step 3: Cross multiply
    6,804.56x = 10,209.49 × 5,500.46
  4. Step 4: Simplify right side
    6,804.56x = 56,156,891.37
  5. Step 5: Solve for x
    x = 56,156,891.37/6,804.56
  6. Step 6: Final answer
    x = 8,252.83

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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.