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Finding the Fourth Proportional to 6,205.95, 9,310.41 and 1,823.40

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Solution

The fourth proportional to 6,205.95, 9,310.41 and 1,823.40 is: 2,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.95 : 9,310.41 = 1,823.40 : x
  2. Step 2: Convert to fraction form
    6,205.95/9,310.41 = 1,823.40/x
  3. Step 3: Cross multiply
    6,205.95x = 9,310.41 × 1,823.40
  4. Step 4: Simplify right side
    6,205.95x = 16,976,601.59
  5. Step 5: Solve for x
    x = 16,976,601.59/6,205.95
  6. Step 6: Final answer
    x = 2,735.54

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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.