Home / 6,206.25-9,309.38-1,823.61

Finding the Fourth Proportional to 6,206.25, 9,309.38 and 1,823.61

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Solution

The fourth proportional to 6,206.25, 9,309.38 and 1,823.61 is: 2,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.25 : 9,309.38 = 1,823.61 : x
  2. Step 2: Convert to fraction form
    6,206.25/9,309.38 = 1,823.61/x
  3. Step 3: Cross multiply
    6,206.25x = 9,309.38 × 1,823.61
  4. Step 4: Simplify right side
    6,206.25x = 16,976,669.34
  5. Step 5: Solve for x
    x = 16,976,669.34/6,206.25
  6. Step 6: Final answer
    x = 2,735.42

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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.