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Finding the Fourth Proportional to 5,691.64, 7,853.68 and 3,173.46

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Solution

The fourth proportional to 5,691.64, 7,853.68 and 3,173.46 is: 4,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.64 : 7,853.68 = 3,173.46 : x
  2. Step 2: Convert to fraction form
    5,691.64/7,853.68 = 3,173.46/x
  3. Step 3: Cross multiply
    5,691.64x = 7,853.68 × 3,173.46
  4. Step 4: Simplify right side
    5,691.64x = 24,923,339.33
  5. Step 5: Solve for x
    x = 24,923,339.33/5,691.64
  6. Step 6: Final answer
    x = 4,378.94

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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.