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Finding the Fourth Proportional to 8,096.74, 11,192.52 and 8,022.22

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Solution

The fourth proportional to 8,096.74, 11,192.52 and 8,022.22 is: 11,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.74 : 11,192.52 = 8,022.22 : x
  2. Step 2: Convert to fraction form
    8,096.74/11,192.52 = 8,022.22/x
  3. Step 3: Cross multiply
    8,096.74x = 11,192.52 × 8,022.22
  4. Step 4: Simplify right side
    8,096.74x = 89,788,857.79
  5. Step 5: Solve for x
    x = 89,788,857.79/8,096.74
  6. Step 6: Final answer
    x = 11,089.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.