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Finding the Fourth Proportional to 6,496.63, 9,747.21 and 2,054.98

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Solution

The fourth proportional to 6,496.63, 9,747.21 and 2,054.98 is: 3,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.63 : 9,747.21 = 2,054.98 : x
  2. Step 2: Convert to fraction form
    6,496.63/9,747.21 = 2,054.98/x
  3. Step 3: Cross multiply
    6,496.63x = 9,747.21 × 2,054.98
  4. Step 4: Simplify right side
    6,496.63x = 20,030,321.61
  5. Step 5: Solve for x
    x = 20,030,321.61/6,496.63
  6. Step 6: Final answer
    x = 3,083.19

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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.