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Finding the Fourth Proportional to 6,707.82, 10,048.26 and 3,201.21

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Solution

The fourth proportional to 6,707.82, 10,048.26 and 3,201.21 is: 4,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.82 : 10,048.26 = 3,201.21 : x
  2. Step 2: Convert to fraction form
    6,707.82/10,048.26 = 3,201.21/x
  3. Step 3: Cross multiply
    6,707.82x = 10,048.26 × 3,201.21
  4. Step 4: Simplify right side
    6,707.82x = 32,166,590.39
  5. Step 5: Solve for x
    x = 32,166,590.39/6,707.82
  6. Step 6: Final answer
    x = 4,795.39

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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.