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Finding the Fourth Proportional to 6,782.20, 9,353.18 and 4,653.97

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Solution

The fourth proportional to 6,782.20, 9,353.18 and 4,653.97 is: 6,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.20 : 9,353.18 = 4,653.97 : x
  2. Step 2: Convert to fraction form
    6,782.20/9,353.18 = 4,653.97/x
  3. Step 3: Cross multiply
    6,782.20x = 9,353.18 × 4,653.97
  4. Step 4: Simplify right side
    6,782.20x = 43,529,407.38
  5. Step 5: Solve for x
    x = 43,529,407.38/6,782.20
  6. Step 6: Final answer
    x = 6,418.19

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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.