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Finding the Fourth Proportional to 8,022.84, 11,965.87 and 7,520.48

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Solution

The fourth proportional to 8,022.84, 11,965.87 and 7,520.48 is: 11,216.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.84 : 11,965.87 = 7,520.48 : x
  2. Step 2: Convert to fraction form
    8,022.84/11,965.87 = 7,520.48/x
  3. Step 3: Cross multiply
    8,022.84x = 11,965.87 × 7,520.48
  4. Step 4: Simplify right side
    8,022.84x = 89,989,086.02
  5. Step 5: Solve for x
    x = 89,989,086.02/8,022.84
  6. Step 6: Final answer
    x = 11,216.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.