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Finding the Fourth Proportional to 6,328.50, 9,497.07 and 2,224.50

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Solution

The fourth proportional to 6,328.50, 9,497.07 and 2,224.50 is: 3,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.50 : 9,497.07 = 2,224.50 : x
  2. Step 2: Convert to fraction form
    6,328.50/9,497.07 = 2,224.50/x
  3. Step 3: Cross multiply
    6,328.50x = 9,497.07 × 2,224.50
  4. Step 4: Simplify right side
    6,328.50x = 21,126,232.22
  5. Step 5: Solve for x
    x = 21,126,232.22/6,328.50
  6. Step 6: Final answer
    x = 3,338.27

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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.