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Finding the Fourth Proportional to 6,644.28, 9,966.88 and 2,201.94

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Solution

The fourth proportional to 6,644.28, 9,966.88 and 2,201.94 is: 3,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.28 : 9,966.88 = 2,201.94 : x
  2. Step 2: Convert to fraction form
    6,644.28/9,966.88 = 2,201.94/x
  3. Step 3: Cross multiply
    6,644.28x = 9,966.88 × 2,201.94
  4. Step 4: Simplify right side
    6,644.28x = 21,946,471.75
  5. Step 5: Solve for x
    x = 21,946,471.75/6,644.28
  6. Step 6: Final answer
    x = 3,303.06

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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.