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Finding the Fourth Proportional to 5,691.14, 7,853.74 and 3,173.22

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Solution

The fourth proportional to 5,691.14, 7,853.74 and 3,173.22 is: 4,379.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.14 : 7,853.74 = 3,173.22 : x
  2. Step 2: Convert to fraction form
    5,691.14/7,853.74 = 3,173.22/x
  3. Step 3: Cross multiply
    5,691.14x = 7,853.74 × 3,173.22
  4. Step 4: Simplify right side
    5,691.14x = 24,921,644.84
  5. Step 5: Solve for x
    x = 24,921,644.84/5,691.14
  6. Step 6: Final answer
    x = 4,379.03

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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.