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Finding the Fourth Proportional to 15,757.78, 21,745.63 and 8,684.20

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Solution

The fourth proportional to 15,757.78, 21,745.63 and 8,684.20 is: 11,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.78 : 21,745.63 = 8,684.20 : x
  2. Step 2: Convert to fraction form
    15,757.78/21,745.63 = 8,684.20/x
  3. Step 3: Cross multiply
    15,757.78x = 21,745.63 × 8,684.20
  4. Step 4: Simplify right side
    15,757.78x = 188,843,400.05
  5. Step 5: Solve for x
    x = 188,843,400.05/15,757.78
  6. Step 6: Final answer
    x = 11,984.14

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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.