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Finding the Fourth Proportional to 6,969.52, 10,453.02 and 2,809.36

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Solution

The fourth proportional to 6,969.52, 10,453.02 and 2,809.36 is: 4,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.52 : 10,453.02 = 2,809.36 : x
  2. Step 2: Convert to fraction form
    6,969.52/10,453.02 = 2,809.36/x
  3. Step 3: Cross multiply
    6,969.52x = 10,453.02 × 2,809.36
  4. Step 4: Simplify right side
    6,969.52x = 29,366,296.27
  5. Step 5: Solve for x
    x = 29,366,296.27/6,969.52
  6. Step 6: Final answer
    x = 4,213.53

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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.