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Finding the Fourth Proportional to 7,769.26, 11,654.90 and 2,841.22

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Solution

The fourth proportional to 7,769.26, 11,654.90 and 2,841.22 is: 4,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.26 : 11,654.90 = 2,841.22 : x
  2. Step 2: Convert to fraction form
    7,769.26/11,654.90 = 2,841.22/x
  3. Step 3: Cross multiply
    7,769.26x = 11,654.90 × 2,841.22
  4. Step 4: Simplify right side
    7,769.26x = 33,114,112.94
  5. Step 5: Solve for x
    x = 33,114,112.94/7,769.26
  6. Step 6: Final answer
    x = 4,262.20

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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.