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Finding the Fourth Proportional to 6,760, 10,138.08 and 2,864.32

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Solution

The fourth proportional to 6,760, 10,138.08 and 2,864.32 is: 4,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760 : 10,138.08 = 2,864.32 : x
  2. Step 2: Convert to fraction form
    6,760/10,138.08 = 2,864.32/x
  3. Step 3: Cross multiply
    6,760x = 10,138.08 × 2,864.32
  4. Step 4: Simplify right side
    6,760x = 29,038,705.31
  5. Step 5: Solve for x
    x = 29,038,705.31/6,760
  6. Step 6: Final answer
    x = 4,295.67

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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.