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Finding the Fourth Proportional to 11,198.88, 16,798.32 and 3,407.63

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Solution

The fourth proportional to 11,198.88, 16,798.32 and 3,407.63 is: 5,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.88 : 16,798.32 = 3,407.63 : x
  2. Step 2: Convert to fraction form
    11,198.88/16,798.32 = 3,407.63/x
  3. Step 3: Cross multiply
    11,198.88x = 16,798.32 × 3,407.63
  4. Step 4: Simplify right side
    11,198.88x = 57,242,375.19
  5. Step 5: Solve for x
    x = 57,242,375.19/11,198.88
  6. Step 6: Final answer
    x = 5,111.44

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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.