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Finding the Fourth Proportional to 6,650.91, 9,977.83 and 1,971.29

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Solution

The fourth proportional to 6,650.91, 9,977.83 and 1,971.29 is: 2,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.91 : 9,977.83 = 1,971.29 : x
  2. Step 2: Convert to fraction form
    6,650.91/9,977.83 = 1,971.29/x
  3. Step 3: Cross multiply
    6,650.91x = 9,977.83 × 1,971.29
  4. Step 4: Simplify right side
    6,650.91x = 19,669,136.76
  5. Step 5: Solve for x
    x = 19,669,136.76/6,650.91
  6. Step 6: Final answer
    x = 2,957.36

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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.