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Finding the Fourth Proportional to 8,297.44, 11,450.16 and 5,943.52

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Solution

The fourth proportional to 8,297.44, 11,450.16 and 5,943.52 is: 8,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.44 : 11,450.16 = 5,943.52 : x
  2. Step 2: Convert to fraction form
    8,297.44/11,450.16 = 5,943.52/x
  3. Step 3: Cross multiply
    8,297.44x = 11,450.16 × 5,943.52
  4. Step 4: Simplify right side
    8,297.44x = 68,054,254.96
  5. Step 5: Solve for x
    x = 68,054,254.96/8,297.44
  6. Step 6: Final answer
    x = 8,201.84

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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.