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Finding the Fourth Proportional to 11,857.59, 17,786.39 and 3,092.48

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Solution

The fourth proportional to 11,857.59, 17,786.39 and 3,092.48 is: 4,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.59 : 17,786.39 = 3,092.48 : x
  2. Step 2: Convert to fraction form
    11,857.59/17,786.39 = 3,092.48/x
  3. Step 3: Cross multiply
    11,857.59x = 17,786.39 × 3,092.48
  4. Step 4: Simplify right side
    11,857.59x = 55,004,055.35
  5. Step 5: Solve for x
    x = 55,004,055.35/11,857.59
  6. Step 6: Final answer
    x = 4,638.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.