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Finding the Fourth Proportional to 6,996.92, 9,655.82 and 3,853.12

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Solution

The fourth proportional to 6,996.92, 9,655.82 and 3,853.12 is: 5,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.92 : 9,655.82 = 3,853.12 : x
  2. Step 2: Convert to fraction form
    6,996.92/9,655.82 = 3,853.12/x
  3. Step 3: Cross multiply
    6,996.92x = 9,655.82 × 3,853.12
  4. Step 4: Simplify right side
    6,996.92x = 37,205,033.16
  5. Step 5: Solve for x
    x = 37,205,033.16/6,996.92
  6. Step 6: Final answer
    x = 5,317.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.