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Finding the Fourth Proportional to 8,963, 13,456.86 and 6,183.08

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Solution

The fourth proportional to 8,963, 13,456.86 and 6,183.08 is: 9,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963 : 13,456.86 = 6,183.08 : x
  2. Step 2: Convert to fraction form
    8,963/13,456.86 = 6,183.08/x
  3. Step 3: Cross multiply
    8,963x = 13,456.86 × 6,183.08
  4. Step 4: Simplify right side
    8,963x = 83,204,841.93
  5. Step 5: Solve for x
    x = 83,204,841.93/8,963
  6. Step 6: Final answer
    x = 9,283.15

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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.