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Finding the Fourth Proportional to 6,498.38, 8,967.48 and 4,141.28

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Solution

The fourth proportional to 6,498.38, 8,967.48 and 4,141.28 is: 5,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.38 : 8,967.48 = 4,141.28 : x
  2. Step 2: Convert to fraction form
    6,498.38/8,967.48 = 4,141.28/x
  3. Step 3: Cross multiply
    6,498.38x = 8,967.48 × 4,141.28
  4. Step 4: Simplify right side
    6,498.38x = 37,136,845.57
  5. Step 5: Solve for x
    x = 37,136,845.57/6,498.38
  6. Step 6: Final answer
    x = 5,714.79

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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.