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Finding the Fourth Proportional to 7,993.98, 11,992.82 and 2,448.14

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Solution

The fourth proportional to 7,993.98, 11,992.82 and 2,448.14 is: 3,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.98 : 11,992.82 = 2,448.14 : x
  2. Step 2: Convert to fraction form
    7,993.98/11,992.82 = 2,448.14/x
  3. Step 3: Cross multiply
    7,993.98x = 11,992.82 × 2,448.14
  4. Step 4: Simplify right side
    7,993.98x = 29,360,030.15
  5. Step 5: Solve for x
    x = 29,360,030.15/7,993.98
  6. Step 6: Final answer
    x = 3,672.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.