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Finding the Fourth Proportional to 6,972.54, 10,465.11 and 6,231.03

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Solution

The fourth proportional to 6,972.54, 10,465.11 and 6,231.03 is: 9,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.54 : 10,465.11 = 6,231.03 : x
  2. Step 2: Convert to fraction form
    6,972.54/10,465.11 = 6,231.03/x
  3. Step 3: Cross multiply
    6,972.54x = 10,465.11 × 6,231.03
  4. Step 4: Simplify right side
    6,972.54x = 65,208,414.36
  5. Step 5: Solve for x
    x = 65,208,414.36/6,972.54
  6. Step 6: Final answer
    x = 9,352.18

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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.