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Finding the Fourth Proportional to 7,584.96, 11,373.12 and 3,684.48

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Solution

The fourth proportional to 7,584.96, 11,373.12 and 3,684.48 is: 5,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.96 : 11,373.12 = 3,684.48 : x
  2. Step 2: Convert to fraction form
    7,584.96/11,373.12 = 3,684.48/x
  3. Step 3: Cross multiply
    7,584.96x = 11,373.12 × 3,684.48
  4. Step 4: Simplify right side
    7,584.96x = 41,904,033.18
  5. Step 5: Solve for x
    x = 41,904,033.18/7,584.96
  6. Step 6: Final answer
    x = 5,524.62

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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.