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Finding the Fourth Proportional to 6,919.28, 10,378.92 and 2,302.28

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Solution

The fourth proportional to 6,919.28, 10,378.92 and 2,302.28 is: 3,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.28 : 10,378.92 = 2,302.28 : x
  2. Step 2: Convert to fraction form
    6,919.28/10,378.92 = 2,302.28/x
  3. Step 3: Cross multiply
    6,919.28x = 10,378.92 × 2,302.28
  4. Step 4: Simplify right side
    6,919.28x = 23,895,179.94
  5. Step 5: Solve for x
    x = 23,895,179.94/6,919.28
  6. Step 6: Final answer
    x = 3,453.42

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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.