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Finding the Fourth Proportional to 4,226.81, 6,335.97 and 1,763

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Solution

The fourth proportional to 4,226.81, 6,335.97 and 1,763 is: 2,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.81 : 6,335.97 = 1,763 : x
  2. Step 2: Convert to fraction form
    4,226.81/6,335.97 = 1,763/x
  3. Step 3: Cross multiply
    4,226.81x = 6,335.97 × 1,763
  4. Step 4: Simplify right side
    4,226.81x = 11,170,315.11
  5. Step 5: Solve for x
    x = 11,170,315.11/4,226.81
  6. Step 6: Final answer
    x = 2,642.73

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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.