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Finding the Fourth Proportional to 11,296.84, 16,946.22 and 3,898.30

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Solution

The fourth proportional to 11,296.84, 16,946.22 and 3,898.30 is: 5,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.84 : 16,946.22 = 3,898.30 : x
  2. Step 2: Convert to fraction form
    11,296.84/16,946.22 = 3,898.30/x
  3. Step 3: Cross multiply
    11,296.84x = 16,946.22 × 3,898.30
  4. Step 4: Simplify right side
    11,296.84x = 66,061,449.43
  5. Step 5: Solve for x
    x = 66,061,449.43/11,296.84
  6. Step 6: Final answer
    x = 5,847.78

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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.