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Finding the Fourth Proportional to 6,174.48, 9,258.48 and 2,664.48

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Solution

The fourth proportional to 6,174.48, 9,258.48 and 2,664.48 is: 3,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.48 : 9,258.48 = 2,664.48 : x
  2. Step 2: Convert to fraction form
    6,174.48/9,258.48 = 2,664.48/x
  3. Step 3: Cross multiply
    6,174.48x = 9,258.48 × 2,664.48
  4. Step 4: Simplify right side
    6,174.48x = 24,669,034.79
  5. Step 5: Solve for x
    x = 24,669,034.79/6,174.48
  6. Step 6: Final answer
    x = 3,995.32

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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.