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Finding the Fourth Proportional to 6,786.18, 9,365.67 and 3,802.14

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Solution

The fourth proportional to 6,786.18, 9,365.67 and 3,802.14 is: 5,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.18 : 9,365.67 = 3,802.14 : x
  2. Step 2: Convert to fraction form
    6,786.18/9,365.67 = 3,802.14/x
  3. Step 3: Cross multiply
    6,786.18x = 9,365.67 × 3,802.14
  4. Step 4: Simplify right side
    6,786.18x = 35,609,588.53
  5. Step 5: Solve for x
    x = 35,609,588.53/6,786.18
  6. Step 6: Final answer
    x = 5,247.37

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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.