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Finding the Fourth Proportional to 11,819.17, 17,728.70 and 3,499.24

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Solution

The fourth proportional to 11,819.17, 17,728.70 and 3,499.24 is: 5,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.17 : 17,728.70 = 3,499.24 : x
  2. Step 2: Convert to fraction form
    11,819.17/17,728.70 = 3,499.24/x
  3. Step 3: Cross multiply
    11,819.17x = 17,728.70 × 3,499.24
  4. Step 4: Simplify right side
    11,819.17x = 62,036,887.54
  5. Step 5: Solve for x
    x = 62,036,887.54/11,819.17
  6. Step 6: Final answer
    x = 5,248.84

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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.