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Finding the Fourth Proportional to 7,777.98, 11,664.57 and 2,229.83

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Solution

The fourth proportional to 7,777.98, 11,664.57 and 2,229.83 is: 3,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.98 : 11,664.57 = 2,229.83 : x
  2. Step 2: Convert to fraction form
    7,777.98/11,664.57 = 2,229.83/x
  3. Step 3: Cross multiply
    7,777.98x = 11,664.57 × 2,229.83
  4. Step 4: Simplify right side
    7,777.98x = 26,009,949.80
  5. Step 5: Solve for x
    x = 26,009,949.80/7,777.98
  6. Step 6: Final answer
    x = 3,344.05

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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.