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Finding the Fourth Proportional to 6,793.36, 10,205.57 and 4,823.85

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Solution

The fourth proportional to 6,793.36, 10,205.57 and 4,823.85 is: 7,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,793.36 : 10,205.57 = 4,823.85 : x
  2. Step 2: Convert to fraction form
    6,793.36/10,205.57 = 4,823.85/x
  3. Step 3: Cross multiply
    6,793.36x = 10,205.57 × 4,823.85
  4. Step 4: Simplify right side
    6,793.36x = 49,230,089.50
  5. Step 5: Solve for x
    x = 49,230,089.50/6,793.36
  6. Step 6: Final answer
    x = 7,246.79

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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.