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Finding the Fourth Proportional to 7,994.92, 11,969.74 and 4,238.16

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Solution

The fourth proportional to 7,994.92, 11,969.74 and 4,238.16 is: 6,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.92 : 11,969.74 = 4,238.16 : x
  2. Step 2: Convert to fraction form
    7,994.92/11,969.74 = 4,238.16/x
  3. Step 3: Cross multiply
    7,994.92x = 11,969.74 × 4,238.16
  4. Step 4: Simplify right side
    7,994.92x = 50,729,673.28
  5. Step 5: Solve for x
    x = 50,729,673.28/7,994.92
  6. Step 6: Final answer
    x = 6,345.24

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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.