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Finding the Fourth Proportional to 6,174.74, 9,268.69 and 2,666.46

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Solution

The fourth proportional to 6,174.74, 9,268.69 and 2,666.46 is: 4,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.74 : 9,268.69 = 2,666.46 : x
  2. Step 2: Convert to fraction form
    6,174.74/9,268.69 = 2,666.46/x
  3. Step 3: Cross multiply
    6,174.74x = 9,268.69 × 2,666.46
  4. Step 4: Simplify right side
    6,174.74x = 24,714,591.14
  5. Step 5: Solve for x
    x = 24,714,591.14/6,174.74
  6. Step 6: Final answer
    x = 4,002.53

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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.