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Finding the Fourth Proportional to 7,651.26, 11,475 and 3,268.26

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Solution

The fourth proportional to 7,651.26, 11,475 and 3,268.26 is: 4,901.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.26 : 11,475 = 3,268.26 : x
  2. Step 2: Convert to fraction form
    7,651.26/11,475 = 3,268.26/x
  3. Step 3: Cross multiply
    7,651.26x = 11,475 × 3,268.26
  4. Step 4: Simplify right side
    7,651.26x = 37,503,283.50
  5. Step 5: Solve for x
    x = 37,503,283.50/7,651.26
  6. Step 6: Final answer
    x = 4,901.58

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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.