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Finding the Fourth Proportional to 6,560.73, 9,835.97 and 4,475.57

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Solution

The fourth proportional to 6,560.73, 9,835.97 and 4,475.57 is: 6,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.73 : 9,835.97 = 4,475.57 : x
  2. Step 2: Convert to fraction form
    6,560.73/9,835.97 = 4,475.57/x
  3. Step 3: Cross multiply
    6,560.73x = 9,835.97 × 4,475.57
  4. Step 4: Simplify right side
    6,560.73x = 44,021,500.70
  5. Step 5: Solve for x
    x = 44,021,500.70/6,560.73
  6. Step 6: Final answer
    x = 6,709.85

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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.