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Finding the Fourth Proportional to 6,893.55, 10,340.33 and 2,509.22

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Solution

The fourth proportional to 6,893.55, 10,340.33 and 2,509.22 is: 3,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.55 : 10,340.33 = 2,509.22 : x
  2. Step 2: Convert to fraction form
    6,893.55/10,340.33 = 2,509.22/x
  3. Step 3: Cross multiply
    6,893.55x = 10,340.33 × 2,509.22
  4. Step 4: Simplify right side
    6,893.55x = 25,946,176.15
  5. Step 5: Solve for x
    x = 25,946,176.15/6,893.55
  6. Step 6: Final answer
    x = 3,763.83

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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.