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Finding the Fourth Proportional to 18,493.76, 27,740.65 and 6,181.76

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Solution

The fourth proportional to 18,493.76, 27,740.65 and 6,181.76 is: 9,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.76 : 27,740.65 = 6,181.76 : x
  2. Step 2: Convert to fraction form
    18,493.76/27,740.65 = 6,181.76/x
  3. Step 3: Cross multiply
    18,493.76x = 27,740.65 × 6,181.76
  4. Step 4: Simplify right side
    18,493.76x = 171,486,040.54
  5. Step 5: Solve for x
    x = 171,486,040.54/18,493.76
  6. Step 6: Final answer
    x = 9,272.64

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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.