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Finding the Fourth Proportional to 4,819.64, 7,229.71 and 1,532.99

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Solution

The fourth proportional to 4,819.64, 7,229.71 and 1,532.99 is: 2,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.64 : 7,229.71 = 1,532.99 : x
  2. Step 2: Convert to fraction form
    4,819.64/7,229.71 = 1,532.99/x
  3. Step 3: Cross multiply
    4,819.64x = 7,229.71 × 1,532.99
  4. Step 4: Simplify right side
    4,819.64x = 11,083,073.13
  5. Step 5: Solve for x
    x = 11,083,073.13/4,819.64
  6. Step 6: Final answer
    x = 2,299.56

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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.