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Finding the Fourth Proportional to 6,807.59, 10,205.19 and 2,424.02

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Solution

The fourth proportional to 6,807.59, 10,205.19 and 2,424.02 is: 3,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.59 : 10,205.19 = 2,424.02 : x
  2. Step 2: Convert to fraction form
    6,807.59/10,205.19 = 2,424.02/x
  3. Step 3: Cross multiply
    6,807.59x = 10,205.19 × 2,424.02
  4. Step 4: Simplify right side
    6,807.59x = 24,737,542.73
  5. Step 5: Solve for x
    x = 24,737,542.73/6,807.59
  6. Step 6: Final answer
    x = 3,633.82

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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.