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Finding the Fourth Proportional to 6,976.16, 10,449.84 and 5,591.84

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Solution

The fourth proportional to 6,976.16, 10,449.84 and 5,591.84 is: 8,376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.16 : 10,449.84 = 5,591.84 : x
  2. Step 2: Convert to fraction form
    6,976.16/10,449.84 = 5,591.84/x
  3. Step 3: Cross multiply
    6,976.16x = 10,449.84 × 5,591.84
  4. Step 4: Simplify right side
    6,976.16x = 58,433,833.31
  5. Step 5: Solve for x
    x = 58,433,833.31/6,976.16
  6. Step 6: Final answer
    x = 8,376.22

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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.