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Finding the Fourth Proportional to 6,686.80, 10,024.26 and 3,174.64

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Solution

The fourth proportional to 6,686.80, 10,024.26 and 3,174.64 is: 4,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.80 : 10,024.26 = 3,174.64 : x
  2. Step 2: Convert to fraction form
    6,686.80/10,024.26 = 3,174.64/x
  3. Step 3: Cross multiply
    6,686.80x = 10,024.26 × 3,174.64
  4. Step 4: Simplify right side
    6,686.80x = 31,823,416.77
  5. Step 5: Solve for x
    x = 31,823,416.77/6,686.80
  6. Step 6: Final answer
    x = 4,759.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.