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Finding the Fourth Proportional to 14,997.94, 20,697.04 and 8,284.03

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Solution

The fourth proportional to 14,997.94, 20,697.04 and 8,284.03 is: 11,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997.94 : 20,697.04 = 8,284.03 : x
  2. Step 2: Convert to fraction form
    14,997.94/20,697.04 = 8,284.03/x
  3. Step 3: Cross multiply
    14,997.94x = 20,697.04 × 8,284.03
  4. Step 4: Simplify right side
    14,997.94x = 171,454,879.56
  5. Step 5: Solve for x
    x = 171,454,879.56/14,997.94
  6. Step 6: Final answer
    x = 11,431.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.