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Finding the Fourth Proportional to 7,094.97, 10,641.92 and 2,164.64

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Solution

The fourth proportional to 7,094.97, 10,641.92 and 2,164.64 is: 3,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.97 : 10,641.92 = 2,164.64 : x
  2. Step 2: Convert to fraction form
    7,094.97/10,641.92 = 2,164.64/x
  3. Step 3: Cross multiply
    7,094.97x = 10,641.92 × 2,164.64
  4. Step 4: Simplify right side
    7,094.97x = 23,035,861.68
  5. Step 5: Solve for x
    x = 23,035,861.68/7,094.97
  6. Step 6: Final answer
    x = 3,246.79

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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.