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Finding the Fourth Proportional to 9,108.50, 13,662.51 and 2,534.42

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Solution

The fourth proportional to 9,108.50, 13,662.51 and 2,534.42 is: 3,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.50 : 13,662.51 = 2,534.42 : x
  2. Step 2: Convert to fraction form
    9,108.50/13,662.51 = 2,534.42/x
  3. Step 3: Cross multiply
    9,108.50x = 13,662.51 × 2,534.42
  4. Step 4: Simplify right side
    9,108.50x = 34,626,538.59
  5. Step 5: Solve for x
    x = 34,626,538.59/9,108.50
  6. Step 6: Final answer
    x = 3,801.56

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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.