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Finding the Fourth Proportional to 6,967.54, 10,453.74 and 3,072.28

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Solution

The fourth proportional to 6,967.54, 10,453.74 and 3,072.28 is: 4,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.54 : 10,453.74 = 3,072.28 : x
  2. Step 2: Convert to fraction form
    6,967.54/10,453.74 = 3,072.28/x
  3. Step 3: Cross multiply
    6,967.54x = 10,453.74 × 3,072.28
  4. Step 4: Simplify right side
    6,967.54x = 32,116,816.33
  5. Step 5: Solve for x
    x = 32,116,816.33/6,967.54
  6. Step 6: Final answer
    x = 4,609.49

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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.