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Finding the Fourth Proportional to 10,647.10, 15,954.21 and 6,743.30

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Solution

The fourth proportional to 10,647.10, 15,954.21 and 6,743.30 is: 10,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.10 : 15,954.21 = 6,743.30 : x
  2. Step 2: Convert to fraction form
    10,647.10/15,954.21 = 6,743.30/x
  3. Step 3: Cross multiply
    10,647.10x = 15,954.21 × 6,743.30
  4. Step 4: Simplify right side
    10,647.10x = 107,584,064.18
  5. Step 5: Solve for x
    x = 107,584,064.18/10,647.10
  6. Step 6: Final answer
    x = 10,104.54

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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.