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Finding the Fourth Proportional to 6,057.11, 9,084.99 and 1,674

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Solution

The fourth proportional to 6,057.11, 9,084.99 and 1,674 is: 2,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.11 : 9,084.99 = 1,674 : x
  2. Step 2: Convert to fraction form
    6,057.11/9,084.99 = 1,674/x
  3. Step 3: Cross multiply
    6,057.11x = 9,084.99 × 1,674
  4. Step 4: Simplify right side
    6,057.11x = 15,208,279.54
  5. Step 5: Solve for x
    x = 15,208,279.54/6,057.11
  6. Step 6: Final answer
    x = 2,510.81

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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.