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Finding the Fourth Proportional to 5,657.28, 7,797.96 and 4,476.12

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Solution

The fourth proportional to 5,657.28, 7,797.96 and 4,476.12 is: 6,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.28 : 7,797.96 = 4,476.12 : x
  2. Step 2: Convert to fraction form
    5,657.28/7,797.96 = 4,476.12/x
  3. Step 3: Cross multiply
    5,657.28x = 7,797.96 × 4,476.12
  4. Step 4: Simplify right side
    5,657.28x = 34,904,604.72
  5. Step 5: Solve for x
    x = 34,904,604.72/5,657.28
  6. Step 6: Final answer
    x = 6,169.86

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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.