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Finding the Fourth Proportional to 6,314.89, 9,472.33 and 1,697.89

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Solution

The fourth proportional to 6,314.89, 9,472.33 and 1,697.89 is: 2,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.89 : 9,472.33 = 1,697.89 : x
  2. Step 2: Convert to fraction form
    6,314.89/9,472.33 = 1,697.89/x
  3. Step 3: Cross multiply
    6,314.89x = 9,472.33 × 1,697.89
  4. Step 4: Simplify right side
    6,314.89x = 16,082,965.89
  5. Step 5: Solve for x
    x = 16,082,965.89/6,314.89
  6. Step 6: Final answer
    x = 2,546.83

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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.