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Finding the Fourth Proportional to 6,751.50, 9,316.08 and 3,767.10

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Solution

The fourth proportional to 6,751.50, 9,316.08 and 3,767.10 is: 5,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.50 : 9,316.08 = 3,767.10 : x
  2. Step 2: Convert to fraction form
    6,751.50/9,316.08 = 3,767.10/x
  3. Step 3: Cross multiply
    6,751.50x = 9,316.08 × 3,767.10
  4. Step 4: Simplify right side
    6,751.50x = 35,094,604.97
  5. Step 5: Solve for x
    x = 35,094,604.97/6,751.50
  6. Step 6: Final answer
    x = 5,198.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.