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Finding the Fourth Proportional to 6,616.98, 9,912.57 and 3,686.46

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Solution

The fourth proportional to 6,616.98, 9,912.57 and 3,686.46 is: 5,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.98 : 9,912.57 = 3,686.46 : x
  2. Step 2: Convert to fraction form
    6,616.98/9,912.57 = 3,686.46/x
  3. Step 3: Cross multiply
    6,616.98x = 9,912.57 × 3,686.46
  4. Step 4: Simplify right side
    6,616.98x = 36,542,292.80
  5. Step 5: Solve for x
    x = 36,542,292.80/6,616.98
  6. Step 6: Final answer
    x = 5,522.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.