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Finding the Fourth Proportional to 9,676.14, 14,495.22 and 6,379.26

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Solution

The fourth proportional to 9,676.14, 14,495.22 and 6,379.26 is: 9,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.14 : 14,495.22 = 6,379.26 : x
  2. Step 2: Convert to fraction form
    9,676.14/14,495.22 = 6,379.26/x
  3. Step 3: Cross multiply
    9,676.14x = 14,495.22 × 6,379.26
  4. Step 4: Simplify right side
    9,676.14x = 92,468,777.14
  5. Step 5: Solve for x
    x = 92,468,777.14/9,676.14
  6. Step 6: Final answer
    x = 9,556.37

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1.5x scale

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.