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Finding the Fourth Proportional to 7,241.09, 9,992.78 and 4,446.59

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Solution

The fourth proportional to 7,241.09, 9,992.78 and 4,446.59 is: 6,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.09 : 9,992.78 = 4,446.59 : x
  2. Step 2: Convert to fraction form
    7,241.09/9,992.78 = 4,446.59/x
  3. Step 3: Cross multiply
    7,241.09x = 9,992.78 × 4,446.59
  4. Step 4: Simplify right side
    7,241.09x = 44,433,723.42
  5. Step 5: Solve for x
    x = 44,433,723.42/7,241.09
  6. Step 6: Final answer
    x = 6,136.34

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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.