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Finding the Fourth Proportional to 12,235.88, 16,884.08 and 7,198.99

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Solution

The fourth proportional to 12,235.88, 16,884.08 and 7,198.99 is: 9,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.88 : 16,884.08 = 7,198.99 : x
  2. Step 2: Convert to fraction form
    12,235.88/16,884.08 = 7,198.99/x
  3. Step 3: Cross multiply
    12,235.88x = 16,884.08 × 7,198.99
  4. Step 4: Simplify right side
    12,235.88x = 121,548,244.87
  5. Step 5: Solve for x
    x = 121,548,244.87/12,235.88
  6. Step 6: Final answer
    x = 9,933.76

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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.