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Finding the Fourth Proportional to 8,002.16, 11,983.76 and 4,883.68

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Solution

The fourth proportional to 8,002.16, 11,983.76 and 4,883.68 is: 7,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.16 : 11,983.76 = 4,883.68 : x
  2. Step 2: Convert to fraction form
    8,002.16/11,983.76 = 4,883.68/x
  3. Step 3: Cross multiply
    8,002.16x = 11,983.76 × 4,883.68
  4. Step 4: Simplify right side
    8,002.16x = 58,524,849.04
  5. Step 5: Solve for x
    x = 58,524,849.04/8,002.16
  6. Step 6: Final answer
    x = 7,313.63

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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.