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Finding the Fourth Proportional to 6,301.26, 8,694.95 and 3,648.65

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Solution

The fourth proportional to 6,301.26, 8,694.95 and 3,648.65 is: 5,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.26 : 8,694.95 = 3,648.65 : x
  2. Step 2: Convert to fraction form
    6,301.26/8,694.95 = 3,648.65/x
  3. Step 3: Cross multiply
    6,301.26x = 8,694.95 × 3,648.65
  4. Step 4: Simplify right side
    6,301.26x = 31,724,767.60
  5. Step 5: Solve for x
    x = 31,724,767.60/6,301.26
  6. Step 6: Final answer
    x = 5,034.67

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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.