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Finding the Fourth Proportional to 7,771.50, 11,658.28 and 2,843.46

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Solution

The fourth proportional to 7,771.50, 11,658.28 and 2,843.46 is: 4,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.50 : 11,658.28 = 2,843.46 : x
  2. Step 2: Convert to fraction form
    7,771.50/11,658.28 = 2,843.46/x
  3. Step 3: Cross multiply
    7,771.50x = 11,658.28 × 2,843.46
  4. Step 4: Simplify right side
    7,771.50x = 33,149,852.85
  5. Step 5: Solve for x
    x = 33,149,852.85/7,771.50
  6. Step 6: Final answer
    x = 4,265.57

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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.