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Finding the Fourth Proportional to 8,825.50, 13,238.28 and 2,669.50

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Solution

The fourth proportional to 8,825.50, 13,238.28 and 2,669.50 is: 4,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.50 : 13,238.28 = 2,669.50 : x
  2. Step 2: Convert to fraction form
    8,825.50/13,238.28 = 2,669.50/x
  3. Step 3: Cross multiply
    8,825.50x = 13,238.28 × 2,669.50
  4. Step 4: Simplify right side
    8,825.50x = 35,339,588.46
  5. Step 5: Solve for x
    x = 35,339,588.46/8,825.50
  6. Step 6: Final answer
    x = 4,004.26

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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.