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Finding the Fourth Proportional to 14,349.53, 21,524.25 and 3,819.54

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Solution

The fourth proportional to 14,349.53, 21,524.25 and 3,819.54 is: 5,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.53 : 21,524.25 = 3,819.54 : x
  2. Step 2: Convert to fraction form
    14,349.53/21,524.25 = 3,819.54/x
  3. Step 3: Cross multiply
    14,349.53x = 21,524.25 × 3,819.54
  4. Step 4: Simplify right side
    14,349.53x = 82,212,733.85
  5. Step 5: Solve for x
    x = 82,212,733.85/14,349.53
  6. Step 6: Final answer
    x = 5,729.30

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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.