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Finding the Fourth Proportional to 10,153.56, 15,230.22 and 5,224.56

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Solution

The fourth proportional to 10,153.56, 15,230.22 and 5,224.56 is: 7,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.56 : 15,230.22 = 5,224.56 : x
  2. Step 2: Convert to fraction form
    10,153.56/15,230.22 = 5,224.56/x
  3. Step 3: Cross multiply
    10,153.56x = 15,230.22 × 5,224.56
  4. Step 4: Simplify right side
    10,153.56x = 79,571,198.20
  5. Step 5: Solve for x
    x = 79,571,198.20/10,153.56
  6. Step 6: Final answer
    x = 7,836.78

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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.