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Finding the Fourth Proportional to 15,015.25, 22,524.09 and 4,627

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Solution

The fourth proportional to 15,015.25, 22,524.09 and 4,627 is: 6,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,015.25 : 22,524.09 = 4,627 : x
  2. Step 2: Convert to fraction form
    15,015.25/22,524.09 = 4,627/x
  3. Step 3: Cross multiply
    15,015.25x = 22,524.09 × 4,627
  4. Step 4: Simplify right side
    15,015.25x = 104,218,964.43
  5. Step 5: Solve for x
    x = 104,218,964.43/15,015.25
  6. Step 6: Final answer
    x = 6,940.87

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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.