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Finding the Fourth Proportional to 6,704.82, 10,057.02 and 1,774.50

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Solution

The fourth proportional to 6,704.82, 10,057.02 and 1,774.50 is: 2,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.82 : 10,057.02 = 1,774.50 : x
  2. Step 2: Convert to fraction form
    6,704.82/10,057.02 = 1,774.50/x
  3. Step 3: Cross multiply
    6,704.82x = 10,057.02 × 1,774.50
  4. Step 4: Simplify right side
    6,704.82x = 17,846,181.99
  5. Step 5: Solve for x
    x = 17,846,181.99/6,704.82
  6. Step 6: Final answer
    x = 2,661.69

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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.