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Finding the Fourth Proportional to 6,500.94, 9,751.10 and 3,213.02

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Solution

The fourth proportional to 6,500.94, 9,751.10 and 3,213.02 is: 4,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.94 : 9,751.10 = 3,213.02 : x
  2. Step 2: Convert to fraction form
    6,500.94/9,751.10 = 3,213.02/x
  3. Step 3: Cross multiply
    6,500.94x = 9,751.10 × 3,213.02
  4. Step 4: Simplify right side
    6,500.94x = 31,330,479.32
  5. Step 5: Solve for x
    x = 31,330,479.32/6,500.94
  6. Step 6: Final answer
    x = 4,819.38

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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.