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Finding the Fourth Proportional to 11,615.46, 16,034.24 and 7,843.73

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Solution

The fourth proportional to 11,615.46, 16,034.24 and 7,843.73 is: 10,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.46 : 16,034.24 = 7,843.73 : x
  2. Step 2: Convert to fraction form
    11,615.46/16,034.24 = 7,843.73/x
  3. Step 3: Cross multiply
    11,615.46x = 16,034.24 × 7,843.73
  4. Step 4: Simplify right side
    11,615.46x = 125,768,129.93
  5. Step 5: Solve for x
    x = 125,768,129.93/11,615.46
  6. Step 6: Final answer
    x = 10,827.65

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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.