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Finding the Fourth Proportional to 6,296.78, 9,441 and 3,523.74

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Solution

The fourth proportional to 6,296.78, 9,441 and 3,523.74 is: 5,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.78 : 9,441 = 3,523.74 : x
  2. Step 2: Convert to fraction form
    6,296.78/9,441 = 3,523.74/x
  3. Step 3: Cross multiply
    6,296.78x = 9,441 × 3,523.74
  4. Step 4: Simplify right side
    6,296.78x = 33,267,629.34
  5. Step 5: Solve for x
    x = 33,267,629.34/6,296.78
  6. Step 6: Final answer
    x = 5,283.28

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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.