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Finding the Fourth Proportional to 4,896.30, 6,751.92 and 4,190.49

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Solution

The fourth proportional to 4,896.30, 6,751.92 and 4,190.49 is: 5,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.30 : 6,751.92 = 4,190.49 : x
  2. Step 2: Convert to fraction form
    4,896.30/6,751.92 = 4,190.49/x
  3. Step 3: Cross multiply
    4,896.30x = 6,751.92 × 4,190.49
  4. Step 4: Simplify right side
    4,896.30x = 28,293,853.24
  5. Step 5: Solve for x
    x = 28,293,853.24/4,896.30
  6. Step 6: Final answer
    x = 5,778.62

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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.