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Finding the Fourth Proportional to 8,393.75, 11,583.38 and 4,616.97

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Solution

The fourth proportional to 8,393.75, 11,583.38 and 4,616.97 is: 6,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.75 : 11,583.38 = 4,616.97 : x
  2. Step 2: Convert to fraction form
    8,393.75/11,583.38 = 4,616.97/x
  3. Step 3: Cross multiply
    8,393.75x = 11,583.38 × 4,616.97
  4. Step 4: Simplify right side
    8,393.75x = 53,480,117.96
  5. Step 5: Solve for x
    x = 53,480,117.96/8,393.75
  6. Step 6: Final answer
    x = 6,371.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.