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Finding the Fourth Proportional to 6,993.30, 9,650.75 and 3,849.49

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Solution

The fourth proportional to 6,993.30, 9,650.75 and 3,849.49 is: 5,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.30 : 9,650.75 = 3,849.49 : x
  2. Step 2: Convert to fraction form
    6,993.30/9,650.75 = 3,849.49/x
  3. Step 3: Cross multiply
    6,993.30x = 9,650.75 × 3,849.49
  4. Step 4: Simplify right side
    6,993.30x = 37,150,465.62
  5. Step 5: Solve for x
    x = 37,150,465.62/6,993.30
  6. Step 6: Final answer
    x = 5,312.29

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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.