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Finding the Fourth Proportional to 6,263.80, 9,395.22 and 1,646.68

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Solution

The fourth proportional to 6,263.80, 9,395.22 and 1,646.68 is: 2,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.80 : 9,395.22 = 1,646.68 : x
  2. Step 2: Convert to fraction form
    6,263.80/9,395.22 = 1,646.68/x
  3. Step 3: Cross multiply
    6,263.80x = 9,395.22 × 1,646.68
  4. Step 4: Simplify right side
    6,263.80x = 15,470,920.87
  5. Step 5: Solve for x
    x = 15,470,920.87/6,263.80
  6. Step 6: Final answer
    x = 2,469.89

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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.