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Finding the Fourth Proportional to 13,584.48, 20,363.76 and 4,344.48

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Solution

The fourth proportional to 13,584.48, 20,363.76 and 4,344.48 is: 6,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.48 : 20,363.76 = 4,344.48 : x
  2. Step 2: Convert to fraction form
    13,584.48/20,363.76 = 4,344.48/x
  3. Step 3: Cross multiply
    13,584.48x = 20,363.76 × 4,344.48
  4. Step 4: Simplify right side
    13,584.48x = 88,469,948.04
  5. Step 5: Solve for x
    x = 88,469,948.04/13,584.48
  6. Step 6: Final answer
    x = 6,512.58

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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.