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Finding the Fourth Proportional to 15,997.80, 24,002.46 and 7,228.20

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Solution

The fourth proportional to 15,997.80, 24,002.46 and 7,228.20 is: 10,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.80 : 24,002.46 = 7,228.20 : x
  2. Step 2: Convert to fraction form
    15,997.80/24,002.46 = 7,228.20/x
  3. Step 3: Cross multiply
    15,997.80x = 24,002.46 × 7,228.20
  4. Step 4: Simplify right side
    15,997.80x = 173,494,581.37
  5. Step 5: Solve for x
    x = 173,494,581.37/15,997.80
  6. Step 6: Final answer
    x = 10,844.90

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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.