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Finding the Fourth Proportional to 6,949.01, 10,430.54 and 6,163.52

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Solution

The fourth proportional to 6,949.01, 10,430.54 and 6,163.52 is: 9,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.01 : 10,430.54 = 6,163.52 : x
  2. Step 2: Convert to fraction form
    6,949.01/10,430.54 = 6,163.52/x
  3. Step 3: Cross multiply
    6,949.01x = 10,430.54 × 6,163.52
  4. Step 4: Simplify right side
    6,949.01x = 64,288,758.93
  5. Step 5: Solve for x
    x = 64,288,758.93/6,949.01
  6. Step 6: Final answer
    x = 9,251.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.