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Finding the Fourth Proportional to 7,997.92, 12,002.28 and 2,803.84

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Solution

The fourth proportional to 7,997.92, 12,002.28 and 2,803.84 is: 4,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.92 : 12,002.28 = 2,803.84 : x
  2. Step 2: Convert to fraction form
    7,997.92/12,002.28 = 2,803.84/x
  3. Step 3: Cross multiply
    7,997.92x = 12,002.28 × 2,803.84
  4. Step 4: Simplify right side
    7,997.92x = 33,652,472.76
  5. Step 5: Solve for x
    x = 33,652,472.76/7,997.92
  6. Step 6: Final answer
    x = 4,207.65

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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.