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Finding the Fourth Proportional to 6,361.50, 8,778.87 and 3,567

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Solution

The fourth proportional to 6,361.50, 8,778.87 and 3,567 is: 4,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.50 : 8,778.87 = 3,567 : x
  2. Step 2: Convert to fraction form
    6,361.50/8,778.87 = 3,567/x
  3. Step 3: Cross multiply
    6,361.50x = 8,778.87 × 3,567
  4. Step 4: Simplify right side
    6,361.50x = 31,314,229.29
  5. Step 5: Solve for x
    x = 31,314,229.29/6,361.50
  6. Step 6: Final answer
    x = 4,922.46

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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.