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Finding the Fourth Proportional to 6,800.80, 9,384.38 and 3,815.94

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Solution

The fourth proportional to 6,800.80, 9,384.38 and 3,815.94 is: 5,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.80 : 9,384.38 = 3,815.94 : x
  2. Step 2: Convert to fraction form
    6,800.80/9,384.38 = 3,815.94/x
  3. Step 3: Cross multiply
    6,800.80x = 9,384.38 × 3,815.94
  4. Step 4: Simplify right side
    6,800.80x = 35,810,231.02
  5. Step 5: Solve for x
    x = 35,810,231.02/6,800.80
  6. Step 6: Final answer
    x = 5,265.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.