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Finding the Fourth Proportional to 7,241, 9,992.58 and 4,097.12

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Solution

The fourth proportional to 7,241, 9,992.58 and 4,097.12 is: 5,654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241 : 9,992.58 = 4,097.12 : x
  2. Step 2: Convert to fraction form
    7,241/9,992.58 = 4,097.12/x
  3. Step 3: Cross multiply
    7,241x = 9,992.58 × 4,097.12
  4. Step 4: Simplify right side
    7,241x = 40,940,799.37
  5. Step 5: Solve for x
    x = 40,940,799.37/7,241
  6. Step 6: Final answer
    x = 5,654.03

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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.