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Finding the Fourth Proportional to 6,224.02, 9,336.16 and 2,326.30

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Solution

The fourth proportional to 6,224.02, 9,336.16 and 2,326.30 is: 3,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.02 : 9,336.16 = 2,326.30 : x
  2. Step 2: Convert to fraction form
    6,224.02/9,336.16 = 2,326.30/x
  3. Step 3: Cross multiply
    6,224.02x = 9,336.16 × 2,326.30
  4. Step 4: Simplify right side
    6,224.02x = 21,718,709.01
  5. Step 5: Solve for x
    x = 21,718,709.01/6,224.02
  6. Step 6: Final answer
    x = 3,489.50

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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.