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Finding the Fourth Proportional to 7,224.36, 9,967.86 and 4,079.88

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Solution

The fourth proportional to 7,224.36, 9,967.86 and 4,079.88 is: 5,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.36 : 9,967.86 = 4,079.88 : x
  2. Step 2: Convert to fraction form
    7,224.36/9,967.86 = 4,079.88/x
  3. Step 3: Cross multiply
    7,224.36x = 9,967.86 × 4,079.88
  4. Step 4: Simplify right side
    7,224.36x = 40,667,672.66
  5. Step 5: Solve for x
    x = 40,667,672.66/7,224.36
  6. Step 6: Final answer
    x = 5,629.24

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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.