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Finding the Fourth Proportional to 6,956.67, 10,435.32 and 2,276.67

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Solution

The fourth proportional to 6,956.67, 10,435.32 and 2,276.67 is: 3,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.67 : 10,435.32 = 2,276.67 : x
  2. Step 2: Convert to fraction form
    6,956.67/10,435.32 = 2,276.67/x
  3. Step 3: Cross multiply
    6,956.67x = 10,435.32 × 2,276.67
  4. Step 4: Simplify right side
    6,956.67x = 23,757,779.98
  5. Step 5: Solve for x
    x = 23,757,779.98/6,956.67
  6. Step 6: Final answer
    x = 3,415.11

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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.