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Finding the Fourth Proportional to 15,593.20, 23,397.70 and 6,828.20

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Solution

The fourth proportional to 15,593.20, 23,397.70 and 6,828.20 is: 10,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,593.20 : 23,397.70 = 6,828.20 : x
  2. Step 2: Convert to fraction form
    15,593.20/23,397.70 = 6,828.20/x
  3. Step 3: Cross multiply
    15,593.20x = 23,397.70 × 6,828.20
  4. Step 4: Simplify right side
    15,593.20x = 159,764,175.14
  5. Step 5: Solve for x
    x = 159,764,175.14/15,593.20
  6. Step 6: Final answer
    x = 10,245.76

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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.