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Finding the Fourth Proportional to 6,467.76, 9,693.54 and 2,765.67

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Solution

The fourth proportional to 6,467.76, 9,693.54 and 2,765.67 is: 4,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.76 : 9,693.54 = 2,765.67 : x
  2. Step 2: Convert to fraction form
    6,467.76/9,693.54 = 2,765.67/x
  3. Step 3: Cross multiply
    6,467.76x = 9,693.54 × 2,765.67
  4. Step 4: Simplify right side
    6,467.76x = 26,809,132.77
  5. Step 5: Solve for x
    x = 26,809,132.77/6,467.76
  6. Step 6: Final answer
    x = 4,145.04

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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.