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Finding the Fourth Proportional to 13,494.48, 20,234.88 and 7,949.52

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Solution

The fourth proportional to 13,494.48, 20,234.88 and 7,949.52 is: 11,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.48 : 20,234.88 = 7,949.52 : x
  2. Step 2: Convert to fraction form
    13,494.48/20,234.88 = 7,949.52/x
  3. Step 3: Cross multiply
    13,494.48x = 20,234.88 × 7,949.52
  4. Step 4: Simplify right side
    13,494.48x = 160,857,583.26
  5. Step 5: Solve for x
    x = 160,857,583.26/13,494.48
  6. Step 6: Final answer
    x = 11,920.25

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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.