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Finding the Fourth Proportional to 7,967.16, 10,995.75 and 5,974.56

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Solution

The fourth proportional to 7,967.16, 10,995.75 and 5,974.56 is: 8,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.16 : 10,995.75 = 5,974.56 : x
  2. Step 2: Convert to fraction form
    7,967.16/10,995.75 = 5,974.56/x
  3. Step 3: Cross multiply
    7,967.16x = 10,995.75 × 5,974.56
  4. Step 4: Simplify right side
    7,967.16x = 65,694,768.12
  5. Step 5: Solve for x
    x = 65,694,768.12/7,967.16
  6. Step 6: Final answer
    x = 8,245.69

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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.