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Finding the Fourth Proportional to 7,615.64, 10,469.26 and 6,549.50

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Solution

The fourth proportional to 7,615.64, 10,469.26 and 6,549.50 is: 9,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.64 : 10,469.26 = 6,549.50 : x
  2. Step 2: Convert to fraction form
    7,615.64/10,469.26 = 6,549.50/x
  3. Step 3: Cross multiply
    7,615.64x = 10,469.26 × 6,549.50
  4. Step 4: Simplify right side
    7,615.64x = 68,568,418.37
  5. Step 5: Solve for x
    x = 68,568,418.37/7,615.64
  6. Step 6: Final answer
    x = 9,003.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.