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Finding the Fourth Proportional to 6,466.13, 9,680.06 and 3,993

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Solution

The fourth proportional to 6,466.13, 9,680.06 and 3,993 is: 5,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.13 : 9,680.06 = 3,993 : x
  2. Step 2: Convert to fraction form
    6,466.13/9,680.06 = 3,993/x
  3. Step 3: Cross multiply
    6,466.13x = 9,680.06 × 3,993
  4. Step 4: Simplify right side
    6,466.13x = 38,652,479.58
  5. Step 5: Solve for x
    x = 38,652,479.58/6,466.13
  6. Step 6: Final answer
    x = 5,977.68

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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.