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Finding the Fourth Proportional to 6,956.62, 10,435.41 and 2,026.30

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Solution

The fourth proportional to 6,956.62, 10,435.41 and 2,026.30 is: 3,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.62 : 10,435.41 = 2,026.30 : x
  2. Step 2: Convert to fraction form
    6,956.62/10,435.41 = 2,026.30/x
  3. Step 3: Cross multiply
    6,956.62x = 10,435.41 × 2,026.30
  4. Step 4: Simplify right side
    6,956.62x = 21,145,271.28
  5. Step 5: Solve for x
    x = 21,145,271.28/6,956.62
  6. Step 6: Final answer
    x = 3,039.59

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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.