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Finding the Fourth Proportional to 7,992.26, 11,993.72 and 2,798.13

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Solution

The fourth proportional to 7,992.26, 11,993.72 and 2,798.13 is: 4,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.26 : 11,993.72 = 2,798.13 : x
  2. Step 2: Convert to fraction form
    7,992.26/11,993.72 = 2,798.13/x
  3. Step 3: Cross multiply
    7,992.26x = 11,993.72 × 2,798.13
  4. Step 4: Simplify right side
    7,992.26x = 33,559,973.75
  5. Step 5: Solve for x
    x = 33,559,973.75/7,992.26
  6. Step 6: Final answer
    x = 4,199.06

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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.