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Finding the Fourth Proportional to 5,965.25, 8,947.13 and 3,188.97

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Solution

The fourth proportional to 5,965.25, 8,947.13 and 3,188.97 is: 4,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.25 : 8,947.13 = 3,188.97 : x
  2. Step 2: Convert to fraction form
    5,965.25/8,947.13 = 3,188.97/x
  3. Step 3: Cross multiply
    5,965.25x = 8,947.13 × 3,188.97
  4. Step 4: Simplify right side
    5,965.25x = 28,532,113.21
  5. Step 5: Solve for x
    x = 28,532,113.21/5,965.25
  6. Step 6: Final answer
    x = 4,783.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.