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Finding the Fourth Proportional to 6,483.07, 9,722.15 and 2,099.35

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Solution

The fourth proportional to 6,483.07, 9,722.15 and 2,099.35 is: 3,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.07 : 9,722.15 = 2,099.35 : x
  2. Step 2: Convert to fraction form
    6,483.07/9,722.15 = 2,099.35/x
  3. Step 3: Cross multiply
    6,483.07x = 9,722.15 × 2,099.35
  4. Step 4: Simplify right side
    6,483.07x = 20,410,160.80
  5. Step 5: Solve for x
    x = 20,410,160.80/6,483.07
  6. Step 6: Final answer
    x = 3,148.23

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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.