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Finding the Fourth Proportional to 6,644.47, 9,959.87 and 2,948.44

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Solution

The fourth proportional to 6,644.47, 9,959.87 and 2,948.44 is: 4,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.47 : 9,959.87 = 2,948.44 : x
  2. Step 2: Convert to fraction form
    6,644.47/9,959.87 = 2,948.44/x
  3. Step 3: Cross multiply
    6,644.47x = 9,959.87 × 2,948.44
  4. Step 4: Simplify right side
    6,644.47x = 29,366,039.46
  5. Step 5: Solve for x
    x = 29,366,039.46/6,644.47
  6. Step 6: Final answer
    x = 4,419.62

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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.