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Finding the Fourth Proportional to 15,757.77, 21,744.74 and 8,684.24

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Solution

The fourth proportional to 15,757.77, 21,744.74 and 8,684.24 is: 11,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.77 : 21,744.74 = 8,684.24 : x
  2. Step 2: Convert to fraction form
    15,757.77/21,744.74 = 8,684.24/x
  3. Step 3: Cross multiply
    15,757.77x = 21,744.74 × 8,684.24
  4. Step 4: Simplify right side
    15,757.77x = 188,836,497.48
  5. Step 5: Solve for x
    x = 188,836,497.48/15,757.77
  6. Step 6: Final answer
    x = 11,983.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.