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Finding the Fourth Proportional to 12,771.76, 17,619.24 and 9,229.36

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Solution

The fourth proportional to 12,771.76, 17,619.24 and 9,229.36 is: 12,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.76 : 17,619.24 = 9,229.36 : x
  2. Step 2: Convert to fraction form
    12,771.76/17,619.24 = 9,229.36/x
  3. Step 3: Cross multiply
    12,771.76x = 17,619.24 × 9,229.36
  4. Step 4: Simplify right side
    12,771.76x = 162,614,308.89
  5. Step 5: Solve for x
    x = 162,614,308.89/12,771.76
  6. Step 6: Final answer
    x = 12,732.33

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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.