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Finding the Fourth Proportional to 6,919.25, 10,378.97 and 2,302.25

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Solution

The fourth proportional to 6,919.25, 10,378.97 and 2,302.25 is: 3,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.25 : 10,378.97 = 2,302.25 : x
  2. Step 2: Convert to fraction form
    6,919.25/10,378.97 = 2,302.25/x
  3. Step 3: Cross multiply
    6,919.25x = 10,378.97 × 2,302.25
  4. Step 4: Simplify right side
    6,919.25x = 23,894,983.68
  5. Step 5: Solve for x
    x = 23,894,983.68/6,919.25
  6. Step 6: Final answer
    x = 3,453.41

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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.