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Finding the Fourth Proportional to 6,396.46, 9,593.94 and 1,716.82

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Solution

The fourth proportional to 6,396.46, 9,593.94 and 1,716.82 is: 2,575.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.46 : 9,593.94 = 1,716.82 : x
  2. Step 2: Convert to fraction form
    6,396.46/9,593.94 = 1,716.82/x
  3. Step 3: Cross multiply
    6,396.46x = 9,593.94 × 1,716.82
  4. Step 4: Simplify right side
    6,396.46x = 16,471,068.07
  5. Step 5: Solve for x
    x = 16,471,068.07/6,396.46
  6. Step 6: Final answer
    x = 2,575.03

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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.