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Finding the Fourth Proportional to 6,265.54, 9,398.72 and 2,105.22

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Solution

The fourth proportional to 6,265.54, 9,398.72 and 2,105.22 is: 3,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.54 : 9,398.72 = 2,105.22 : x
  2. Step 2: Convert to fraction form
    6,265.54/9,398.72 = 2,105.22/x
  3. Step 3: Cross multiply
    6,265.54x = 9,398.72 × 2,105.22
  4. Step 4: Simplify right side
    6,265.54x = 19,786,373.32
  5. Step 5: Solve for x
    x = 19,786,373.32/6,265.54
  6. Step 6: Final answer
    x = 3,157.97

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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.