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Finding the Fourth Proportional to 13,615.74, 18,791.46 and 8,309.43

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Solution

The fourth proportional to 13,615.74, 18,791.46 and 8,309.43 is: 11,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.74 : 18,791.46 = 8,309.43 : x
  2. Step 2: Convert to fraction form
    13,615.74/18,791.46 = 8,309.43/x
  3. Step 3: Cross multiply
    13,615.74x = 18,791.46 × 8,309.43
  4. Step 4: Simplify right side
    13,615.74x = 156,146,321.47
  5. Step 5: Solve for x
    x = 156,146,321.47/13,615.74
  6. Step 6: Final answer
    x = 11,468.07

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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.