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Finding the Fourth Proportional to 8,361.44, 11,539.36 and 4,824.80

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Solution

The fourth proportional to 8,361.44, 11,539.36 and 4,824.80 is: 6,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.44 : 11,539.36 = 4,824.80 : x
  2. Step 2: Convert to fraction form
    8,361.44/11,539.36 = 4,824.80/x
  3. Step 3: Cross multiply
    8,361.44x = 11,539.36 × 4,824.80
  4. Step 4: Simplify right side
    8,361.44x = 55,675,104.13
  5. Step 5: Solve for x
    x = 55,675,104.13/8,361.44
  6. Step 6: Final answer
    x = 6,658.55

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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.