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Finding the Fourth Proportional to 6,779.92, 9,356.14 and 3,947.80

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Solution

The fourth proportional to 6,779.92, 9,356.14 and 3,947.80 is: 5,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.92 : 9,356.14 = 3,947.80 : x
  2. Step 2: Convert to fraction form
    6,779.92/9,356.14 = 3,947.80/x
  3. Step 3: Cross multiply
    6,779.92x = 9,356.14 × 3,947.80
  4. Step 4: Simplify right side
    6,779.92x = 36,936,169.49
  5. Step 5: Solve for x
    x = 36,936,169.49/6,779.92
  6. Step 6: Final answer
    x = 5,447.88

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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.