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Finding the Fourth Proportional to 6,786.28, 9,363.96 and 3,802.24

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Solution

The fourth proportional to 6,786.28, 9,363.96 and 3,802.24 is: 5,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.28 : 9,363.96 = 3,802.24 : x
  2. Step 2: Convert to fraction form
    6,786.28/9,363.96 = 3,802.24/x
  3. Step 3: Cross multiply
    6,786.28x = 9,363.96 × 3,802.24
  4. Step 4: Simplify right side
    6,786.28x = 35,604,023.27
  5. Step 5: Solve for x
    x = 35,604,023.27/6,786.28
  6. Step 6: Final answer
    x = 5,246.47

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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.