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Finding the Fourth Proportional to 7,110.74, 10,667.63 and 2,728.16

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Solution

The fourth proportional to 7,110.74, 10,667.63 and 2,728.16 is: 4,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.74 : 10,667.63 = 2,728.16 : x
  2. Step 2: Convert to fraction form
    7,110.74/10,667.63 = 2,728.16/x
  3. Step 3: Cross multiply
    7,110.74x = 10,667.63 × 2,728.16
  4. Step 4: Simplify right side
    7,110.74x = 29,102,987.82
  5. Step 5: Solve for x
    x = 29,102,987.82/7,110.74
  6. Step 6: Final answer
    x = 4,092.82

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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.