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Finding the Fourth Proportional to 6,472.62, 9,707.16 and 1,791.51

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Solution

The fourth proportional to 6,472.62, 9,707.16 and 1,791.51 is: 2,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.62 : 9,707.16 = 1,791.51 : x
  2. Step 2: Convert to fraction form
    6,472.62/9,707.16 = 1,791.51/x
  3. Step 3: Cross multiply
    6,472.62x = 9,707.16 × 1,791.51
  4. Step 4: Simplify right side
    6,472.62x = 17,390,474.21
  5. Step 5: Solve for x
    x = 17,390,474.21/6,472.62
  6. Step 6: Final answer
    x = 2,686.78

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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.