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Finding the Fourth Proportional to 27,188.96, 40,783.44 and 7,467.62

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Solution

The fourth proportional to 27,188.96, 40,783.44 and 7,467.62 is: 11,201.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188.96 : 40,783.44 = 7,467.62 : x
  2. Step 2: Convert to fraction form
    27,188.96/40,783.44 = 7,467.62/x
  3. Step 3: Cross multiply
    27,188.96x = 40,783.44 × 7,467.62
  4. Step 4: Simplify right side
    27,188.96x = 304,555,232.21
  5. Step 5: Solve for x
    x = 304,555,232.21/27,188.96
  6. Step 6: Final answer
    x = 11,201.43

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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.