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Finding the Fourth Proportional to 6,305.50, 9,460.17 and 2,201.50

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Solution

The fourth proportional to 6,305.50, 9,460.17 and 2,201.50 is: 3,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.50 : 9,460.17 = 2,201.50 : x
  2. Step 2: Convert to fraction form
    6,305.50/9,460.17 = 2,201.50/x
  3. Step 3: Cross multiply
    6,305.50x = 9,460.17 × 2,201.50
  4. Step 4: Simplify right side
    6,305.50x = 20,826,564.26
  5. Step 5: Solve for x
    x = 20,826,564.26/6,305.50
  6. Step 6: Final answer
    x = 3,302.92

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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.