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Finding the Fourth Proportional to 6,231.51, 9,349.59 and 2,945.14

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Solution

The fourth proportional to 6,231.51, 9,349.59 and 2,945.14 is: 4,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.51 : 9,349.59 = 2,945.14 : x
  2. Step 2: Convert to fraction form
    6,231.51/9,349.59 = 2,945.14/x
  3. Step 3: Cross multiply
    6,231.51x = 9,349.59 × 2,945.14
  4. Step 4: Simplify right side
    6,231.51x = 27,535,851.49
  5. Step 5: Solve for x
    x = 27,535,851.49/6,231.51
  6. Step 6: Final answer
    x = 4,418.81

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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.