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Finding the Fourth Proportional to 11,468.24, 15,819.44 and 7,212.57

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Solution

The fourth proportional to 11,468.24, 15,819.44 and 7,212.57 is: 9,949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.24 : 15,819.44 = 7,212.57 : x
  2. Step 2: Convert to fraction form
    11,468.24/15,819.44 = 7,212.57/x
  3. Step 3: Cross multiply
    11,468.24x = 15,819.44 × 7,212.57
  4. Step 4: Simplify right side
    11,468.24x = 114,098,782.30
  5. Step 5: Solve for x
    x = 114,098,782.30/11,468.24
  6. Step 6: Final answer
    x = 9,949.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.