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Finding the Fourth Proportional to 8,297.84, 11,451.16 and 4,571.92

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Solution

The fourth proportional to 8,297.84, 11,451.16 and 4,571.92 is: 6,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.84 : 11,451.16 = 4,571.92 : x
  2. Step 2: Convert to fraction form
    8,297.84/11,451.16 = 4,571.92/x
  3. Step 3: Cross multiply
    8,297.84x = 11,451.16 × 4,571.92
  4. Step 4: Simplify right side
    8,297.84x = 52,353,787.43
  5. Step 5: Solve for x
    x = 52,353,787.43/8,297.84
  6. Step 6: Final answer
    x = 6,309.33

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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.