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Finding the Fourth Proportional to 7,241.42, 9,992.88 and 4,097.67

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Solution

The fourth proportional to 7,241.42, 9,992.88 and 4,097.67 is: 5,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.42 : 9,992.88 = 4,097.67 : x
  2. Step 2: Convert to fraction form
    7,241.42/9,992.88 = 4,097.67/x
  3. Step 3: Cross multiply
    7,241.42x = 9,992.88 × 4,097.67
  4. Step 4: Simplify right side
    7,241.42x = 40,947,524.59
  5. Step 5: Solve for x
    x = 40,947,524.59/7,241.42
  6. Step 6: Final answer
    x = 5,654.63

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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.