Home / 6,823-10,235.94-2,206.36

Finding the Fourth Proportional to 6,823, 10,235.94 and 2,206.36

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Solution

The fourth proportional to 6,823, 10,235.94 and 2,206.36 is: 3,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823 : 10,235.94 = 2,206.36 : x
  2. Step 2: Convert to fraction form
    6,823/10,235.94 = 2,206.36/x
  3. Step 3: Cross multiply
    6,823x = 10,235.94 × 2,206.36
  4. Step 4: Simplify right side
    6,823x = 22,584,168.58
  5. Step 5: Solve for x
    x = 22,584,168.58/6,823
  6. Step 6: Final answer
    x = 3,310.01

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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.