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Finding the Fourth Proportional to 4,260, 6,382.96 and 4,098

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Solution

The fourth proportional to 4,260, 6,382.96 and 4,098 is: 6,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,260 : 6,382.96 = 4,098 : x
  2. Step 2: Convert to fraction form
    4,260/6,382.96 = 4,098/x
  3. Step 3: Cross multiply
    4,260x = 6,382.96 × 4,098
  4. Step 4: Simplify right side
    4,260x = 26,157,370.08
  5. Step 5: Solve for x
    x = 26,157,370.08/4,260
  6. Step 6: Final answer
    x = 6,140.23

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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.