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Finding the Fourth Proportional to 7,644.51, 11,468.52 and 2,450.25

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Solution

The fourth proportional to 7,644.51, 11,468.52 and 2,450.25 is: 3,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.51 : 11,468.52 = 2,450.25 : x
  2. Step 2: Convert to fraction form
    7,644.51/11,468.52 = 2,450.25/x
  3. Step 3: Cross multiply
    7,644.51x = 11,468.52 × 2,450.25
  4. Step 4: Simplify right side
    7,644.51x = 28,100,741.13
  5. Step 5: Solve for x
    x = 28,100,741.13/7,644.51
  6. Step 6: Final answer
    x = 3,675.94

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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.