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Finding the Fourth Proportional to 7,094.62, 10,641.90 and 3,194.46

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Solution

The fourth proportional to 7,094.62, 10,641.90 and 3,194.46 is: 4,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.62 : 10,641.90 = 3,194.46 : x
  2. Step 2: Convert to fraction form
    7,094.62/10,641.90 = 3,194.46/x
  3. Step 3: Cross multiply
    7,094.62x = 10,641.90 × 3,194.46
  4. Step 4: Simplify right side
    7,094.62x = 33,995,123.87
  5. Step 5: Solve for x
    x = 33,995,123.87/7,094.62
  6. Step 6: Final answer
    x = 4,791.68

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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.