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Finding the Fourth Proportional to 13,163.60, 19,738.20 and 5,363.60

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Solution

The fourth proportional to 13,163.60, 19,738.20 and 5,363.60 is: 8,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.60 : 19,738.20 = 5,363.60 : x
  2. Step 2: Convert to fraction form
    13,163.60/19,738.20 = 5,363.60/x
  3. Step 3: Cross multiply
    13,163.60x = 19,738.20 × 5,363.60
  4. Step 4: Simplify right side
    13,163.60x = 105,867,809.52
  5. Step 5: Solve for x
    x = 105,867,809.52/13,163.60
  6. Step 6: Final answer
    x = 8,042.47

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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.