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Finding the Fourth Proportional to 6,550.81, 9,830.97 and 4,911.77

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Solution

The fourth proportional to 6,550.81, 9,830.97 and 4,911.77 is: 7,371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.81 : 9,830.97 = 4,911.77 : x
  2. Step 2: Convert to fraction form
    6,550.81/9,830.97 = 4,911.77/x
  3. Step 3: Cross multiply
    6,550.81x = 9,830.97 × 4,911.77
  4. Step 4: Simplify right side
    6,550.81x = 48,287,438.96
  5. Step 5: Solve for x
    x = 48,287,438.96/6,550.81
  6. Step 6: Final answer
    x = 7,371.22

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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.