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Finding the Fourth Proportional to 6,969.52, 10,455.22 and 2,039.52

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Solution

The fourth proportional to 6,969.52, 10,455.22 and 2,039.52 is: 3,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.52 : 10,455.22 = 2,039.52 : x
  2. Step 2: Convert to fraction form
    6,969.52/10,455.22 = 2,039.52/x
  3. Step 3: Cross multiply
    6,969.52x = 10,455.22 × 2,039.52
  4. Step 4: Simplify right side
    6,969.52x = 21,323,630.29
  5. Step 5: Solve for x
    x = 21,323,630.29/6,969.52
  6. Step 6: Final answer
    x = 3,059.56

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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.