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Finding the Fourth Proportional to 7,796.49, 11,694.63 and 2,864.22

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Solution

The fourth proportional to 7,796.49, 11,694.63 and 2,864.22 is: 4,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.49 : 11,694.63 = 2,864.22 : x
  2. Step 2: Convert to fraction form
    7,796.49/11,694.63 = 2,864.22/x
  3. Step 3: Cross multiply
    7,796.49x = 11,694.63 × 2,864.22
  4. Step 4: Simplify right side
    7,796.49x = 33,495,993.14
  5. Step 5: Solve for x
    x = 33,495,993.14/7,796.49
  6. Step 6: Final answer
    x = 4,296.29

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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.