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Finding the Fourth Proportional to 6,635.42, 9,949.77 and 3,712.94

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Solution

The fourth proportional to 6,635.42, 9,949.77 and 3,712.94 is: 5,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.42 : 9,949.77 = 3,712.94 : x
  2. Step 2: Convert to fraction form
    6,635.42/9,949.77 = 3,712.94/x
  3. Step 3: Cross multiply
    6,635.42x = 9,949.77 × 3,712.94
  4. Step 4: Simplify right side
    6,635.42x = 36,942,899.02
  5. Step 5: Solve for x
    x = 36,942,899.02/6,635.42
  6. Step 6: Final answer
    x = 5,567.53

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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.