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Finding the Fourth Proportional to 6,759, 9,324.81 and 4,240.08

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Solution

The fourth proportional to 6,759, 9,324.81 and 4,240.08 is: 5,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759 : 9,324.81 = 4,240.08 : x
  2. Step 2: Convert to fraction form
    6,759/9,324.81 = 4,240.08/x
  3. Step 3: Cross multiply
    6,759x = 9,324.81 × 4,240.08
  4. Step 4: Simplify right side
    6,759x = 39,537,940.38
  5. Step 5: Solve for x
    x = 39,537,940.38/6,759
  6. Step 6: Final answer
    x = 5,849.67

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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.