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Finding the Fourth Proportional to 6,532.74, 9,806.03 and 4,069.31

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Solution

The fourth proportional to 6,532.74, 9,806.03 and 4,069.31 is: 6,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.74 : 9,806.03 = 4,069.31 : x
  2. Step 2: Convert to fraction form
    6,532.74/9,806.03 = 4,069.31/x
  3. Step 3: Cross multiply
    6,532.74x = 9,806.03 × 4,069.31
  4. Step 4: Simplify right side
    6,532.74x = 39,903,737.08
  5. Step 5: Solve for x
    x = 39,903,737.08/6,532.74
  6. Step 6: Final answer
    x = 6,108.27

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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.