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Finding the Fourth Proportional to 13,757.61, 20,636.42 and 5,966.25

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Solution

The fourth proportional to 13,757.61, 20,636.42 and 5,966.25 is: 8,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.61 : 20,636.42 = 5,966.25 : x
  2. Step 2: Convert to fraction form
    13,757.61/20,636.42 = 5,966.25/x
  3. Step 3: Cross multiply
    13,757.61x = 20,636.42 × 5,966.25
  4. Step 4: Simplify right side
    13,757.61x = 123,122,010.99
  5. Step 5: Solve for x
    x = 123,122,010.99/13,757.61
  6. Step 6: Final answer
    x = 8,949.38

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1.5x scale

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.