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Finding the Fourth Proportional to 6,416.21, 9,623.26 and 2,255.24

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Solution

The fourth proportional to 6,416.21, 9,623.26 and 2,255.24 is: 3,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.21 : 9,623.26 = 2,255.24 : x
  2. Step 2: Convert to fraction form
    6,416.21/9,623.26 = 2,255.24/x
  3. Step 3: Cross multiply
    6,416.21x = 9,623.26 × 2,255.24
  4. Step 4: Simplify right side
    6,416.21x = 21,702,751.67
  5. Step 5: Solve for x
    x = 21,702,751.67/6,416.21
  6. Step 6: Final answer
    x = 3,382.49

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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.