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Finding the Fourth Proportional to 22,360, 33,540.81 and 6,777.63

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Solution

The fourth proportional to 22,360, 33,540.81 and 6,777.63 is: 10,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,360 : 33,540.81 = 6,777.63 : x
  2. Step 2: Convert to fraction form
    22,360/33,540.81 = 6,777.63/x
  3. Step 3: Cross multiply
    22,360x = 33,540.81 × 6,777.63
  4. Step 4: Simplify right side
    22,360x = 227,327,200.08
  5. Step 5: Solve for x
    x = 227,327,200.08/22,360
  6. Step 6: Final answer
    x = 10,166.69

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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.