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Finding the Fourth Proportional to 6,637.08, 9,956.70 and 2,019

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Solution

The fourth proportional to 6,637.08, 9,956.70 and 2,019 is: 3,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.08 : 9,956.70 = 2,019 : x
  2. Step 2: Convert to fraction form
    6,637.08/9,956.70 = 2,019/x
  3. Step 3: Cross multiply
    6,637.08x = 9,956.70 × 2,019
  4. Step 4: Simplify right side
    6,637.08x = 20,102,577.30
  5. Step 5: Solve for x
    x = 20,102,577.30/6,637.08
  6. Step 6: Final answer
    x = 3,028.83

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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.