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Finding the Fourth Proportional to 7,773.26, 11,659.59 and 2,226.59

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Solution

The fourth proportional to 7,773.26, 11,659.59 and 2,226.59 is: 3,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.26 : 11,659.59 = 2,226.59 : x
  2. Step 2: Convert to fraction form
    7,773.26/11,659.59 = 2,226.59/x
  3. Step 3: Cross multiply
    7,773.26x = 11,659.59 × 2,226.59
  4. Step 4: Simplify right side
    7,773.26x = 25,961,126.50
  5. Step 5: Solve for x
    x = 25,961,126.50/7,773.26
  6. Step 6: Final answer
    x = 3,339.80

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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.