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Finding the Fourth Proportional to 6,786.44, 9,365.24 and 3,802.30

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Solution

The fourth proportional to 6,786.44, 9,365.24 and 3,802.30 is: 5,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.44 : 9,365.24 = 3,802.30 : x
  2. Step 2: Convert to fraction form
    6,786.44/9,365.24 = 3,802.30/x
  3. Step 3: Cross multiply
    6,786.44x = 9,365.24 × 3,802.30
  4. Step 4: Simplify right side
    6,786.44x = 35,609,452.05
  5. Step 5: Solve for x
    x = 35,609,452.05/6,786.44
  6. Step 6: Final answer
    x = 5,247.15

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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.