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Finding the Fourth Proportional to 5,195, 7,169.14 and 2,837.14

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Solution

The fourth proportional to 5,195, 7,169.14 and 2,837.14 is: 3,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195 : 7,169.14 = 2,837.14 : x
  2. Step 2: Convert to fraction form
    5,195/7,169.14 = 2,837.14/x
  3. Step 3: Cross multiply
    5,195x = 7,169.14 × 2,837.14
  4. Step 4: Simplify right side
    5,195x = 20,339,853.86
  5. Step 5: Solve for x
    x = 20,339,853.86/5,195
  6. Step 6: Final answer
    x = 3,915.28

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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.