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Finding the Fourth Proportional to 6,496.98, 9,744.07 and 2,054.99

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Solution

The fourth proportional to 6,496.98, 9,744.07 and 2,054.99 is: 3,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.98 : 9,744.07 = 2,054.99 : x
  2. Step 2: Convert to fraction form
    6,496.98/9,744.07 = 2,054.99/x
  3. Step 3: Cross multiply
    6,496.98x = 9,744.07 × 2,054.99
  4. Step 4: Simplify right side
    6,496.98x = 20,023,956.13
  5. Step 5: Solve for x
    x = 20,023,956.13/6,496.98
  6. Step 6: Final answer
    x = 3,082.04

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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.