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Finding the Fourth Proportional to 6,471.77, 9,709.37 and 2,029.43

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Solution

The fourth proportional to 6,471.77, 9,709.37 and 2,029.43 is: 3,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.77 : 9,709.37 = 2,029.43 : x
  2. Step 2: Convert to fraction form
    6,471.77/9,709.37 = 2,029.43/x
  3. Step 3: Cross multiply
    6,471.77x = 9,709.37 × 2,029.43
  4. Step 4: Simplify right side
    6,471.77x = 19,704,481.19
  5. Step 5: Solve for x
    x = 19,704,481.19/6,471.77
  6. Step 6: Final answer
    x = 3,044.68

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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.