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Finding the Fourth Proportional to 6,196.91, 9,279.52 and 3,420.50

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Solution

The fourth proportional to 6,196.91, 9,279.52 and 3,420.50 is: 5,122.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.91 : 9,279.52 = 3,420.50 : x
  2. Step 2: Convert to fraction form
    6,196.91/9,279.52 = 3,420.50/x
  3. Step 3: Cross multiply
    6,196.91x = 9,279.52 × 3,420.50
  4. Step 4: Simplify right side
    6,196.91x = 31,740,578.01
  5. Step 5: Solve for x
    x = 31,740,578.01/6,196.91
  6. Step 6: Final answer
    x = 5,122.00

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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.