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Finding the Fourth Proportional to 7,592.96, 11,447.26 and 7,057.83

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Solution

The fourth proportional to 7,592.96, 11,447.26 and 7,057.83 is: 10,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.96 : 11,447.26 = 7,057.83 : x
  2. Step 2: Convert to fraction form
    7,592.96/11,447.26 = 7,057.83/x
  3. Step 3: Cross multiply
    7,592.96x = 11,447.26 × 7,057.83
  4. Step 4: Simplify right side
    7,592.96x = 80,792,780.94
  5. Step 5: Solve for x
    x = 80,792,780.94/7,592.96
  6. Step 6: Final answer
    x = 10,640.48

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.