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Finding the Fourth Proportional to 6,628.26, 9,943.60 and 3,165.50

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Solution

The fourth proportional to 6,628.26, 9,943.60 and 3,165.50 is: 4,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.26 : 9,943.60 = 3,165.50 : x
  2. Step 2: Convert to fraction form
    6,628.26/9,943.60 = 3,165.50/x
  3. Step 3: Cross multiply
    6,628.26x = 9,943.60 × 3,165.50
  4. Step 4: Simplify right side
    6,628.26x = 31,476,465.80
  5. Step 5: Solve for x
    x = 31,476,465.80/6,628.26
  6. Step 6: Final answer
    x = 4,748.83

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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.