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Finding the Fourth Proportional to 27,186.76, 40,780.92 and 7,465.48

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Solution

The fourth proportional to 27,186.76, 40,780.92 and 7,465.48 is: 11,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186.76 : 40,780.92 = 7,465.48 : x
  2. Step 2: Convert to fraction form
    27,186.76/40,780.92 = 7,465.48/x
  3. Step 3: Cross multiply
    27,186.76x = 40,780.92 × 7,465.48
  4. Step 4: Simplify right side
    27,186.76x = 304,449,142.64
  5. Step 5: Solve for x
    x = 304,449,142.64/27,186.76
  6. Step 6: Final answer
    x = 11,198.43

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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.