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Finding the Fourth Proportional to 6,466, 9,697.92 and 2,305.84

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Solution

The fourth proportional to 6,466, 9,697.92 and 2,305.84 is: 3,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466 : 9,697.92 = 2,305.84 : x
  2. Step 2: Convert to fraction form
    6,466/9,697.92 = 2,305.84/x
  3. Step 3: Cross multiply
    6,466x = 9,697.92 × 2,305.84
  4. Step 4: Simplify right side
    6,466x = 22,361,851.85
  5. Step 5: Solve for x
    x = 22,361,851.85/6,466
  6. Step 6: Final answer
    x = 3,458.37

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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.