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Finding the Fourth Proportional to 6,704.41, 10,057.13 and 1,773.92

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Solution

The fourth proportional to 6,704.41, 10,057.13 and 1,773.92 is: 2,661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.41 : 10,057.13 = 1,773.92 : x
  2. Step 2: Convert to fraction form
    6,704.41/10,057.13 = 1,773.92/x
  3. Step 3: Cross multiply
    6,704.41x = 10,057.13 × 1,773.92
  4. Step 4: Simplify right side
    6,704.41x = 17,840,535.18
  5. Step 5: Solve for x
    x = 17,840,535.18/6,704.41
  6. Step 6: Final answer
    x = 2,661.01

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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.