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Finding the Fourth Proportional to 6,644.40, 9,969.30 and 2,749.20

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Solution

The fourth proportional to 6,644.40, 9,969.30 and 2,749.20 is: 4,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.40 : 9,969.30 = 2,749.20 : x
  2. Step 2: Convert to fraction form
    6,644.40/9,969.30 = 2,749.20/x
  3. Step 3: Cross multiply
    6,644.40x = 9,969.30 × 2,749.20
  4. Step 4: Simplify right side
    6,644.40x = 27,407,599.56
  5. Step 5: Solve for x
    x = 27,407,599.56/6,644.40
  6. Step 6: Final answer
    x = 4,124.92

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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.