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Finding the Fourth Proportional to 6,348, 9,523.94 and 2,840.96

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Solution

The fourth proportional to 6,348, 9,523.94 and 2,840.96 is: 4,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348 : 9,523.94 = 2,840.96 : x
  2. Step 2: Convert to fraction form
    6,348/9,523.94 = 2,840.96/x
  3. Step 3: Cross multiply
    6,348x = 9,523.94 × 2,840.96
  4. Step 4: Simplify right side
    6,348x = 27,057,132.58
  5. Step 5: Solve for x
    x = 27,057,132.58/6,348
  6. Step 6: Final answer
    x = 4,262.31

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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.