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Finding the Fourth Proportional to 6,651.31, 9,957.63 and 3,869.50

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Solution

The fourth proportional to 6,651.31, 9,957.63 and 3,869.50 is: 5,793.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.31 : 9,957.63 = 3,869.50 : x
  2. Step 2: Convert to fraction form
    6,651.31/9,957.63 = 3,869.50/x
  3. Step 3: Cross multiply
    6,651.31x = 9,957.63 × 3,869.50
  4. Step 4: Simplify right side
    6,651.31x = 38,531,049.29
  5. Step 5: Solve for x
    x = 38,531,049.29/6,651.31
  6. Step 6: Final answer
    x = 5,793.00

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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.