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Finding the Fourth Proportional to 7,772.72, 11,657.08 and 2,224.88

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Solution

The fourth proportional to 7,772.72, 11,657.08 and 2,224.88 is: 3,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.72 : 11,657.08 = 2,224.88 : x
  2. Step 2: Convert to fraction form
    7,772.72/11,657.08 = 2,224.88/x
  3. Step 3: Cross multiply
    7,772.72x = 11,657.08 × 2,224.88
  4. Step 4: Simplify right side
    7,772.72x = 25,935,604.15
  5. Step 5: Solve for x
    x = 25,935,604.15/7,772.72
  6. Step 6: Final answer
    x = 3,336.75

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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.