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Finding the Fourth Proportional to 12,241.98, 16,893.86 and 7,206.14

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Solution

The fourth proportional to 12,241.98, 16,893.86 and 7,206.14 is: 9,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.98 : 16,893.86 = 7,206.14 : x
  2. Step 2: Convert to fraction form
    12,241.98/16,893.86 = 7,206.14/x
  3. Step 3: Cross multiply
    12,241.98x = 16,893.86 × 7,206.14
  4. Step 4: Simplify right side
    12,241.98x = 121,739,520.30
  5. Step 5: Solve for x
    x = 121,739,520.30/12,241.98
  6. Step 6: Final answer
    x = 9,944.43

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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.