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Finding the Fourth Proportional to 6,992.30, 9,649.37 and 3,848.49

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Solution

The fourth proportional to 6,992.30, 9,649.37 and 3,848.49 is: 5,310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.30 : 9,649.37 = 3,848.49 : x
  2. Step 2: Convert to fraction form
    6,992.30/9,649.37 = 3,848.49/x
  3. Step 3: Cross multiply
    6,992.30x = 9,649.37 × 3,848.49
  4. Step 4: Simplify right side
    6,992.30x = 37,135,513.57
  5. Step 5: Solve for x
    x = 37,135,513.57/6,992.30
  6. Step 6: Final answer
    x = 5,310.91

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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.