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Finding the Fourth Proportional to 6,264.93, 8,643.63 and 3,611.97

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Solution

The fourth proportional to 6,264.93, 8,643.63 and 3,611.97 is: 4,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.93 : 8,643.63 = 3,611.97 : x
  2. Step 2: Convert to fraction form
    6,264.93/8,643.63 = 3,611.97/x
  3. Step 3: Cross multiply
    6,264.93x = 8,643.63 × 3,611.97
  4. Step 4: Simplify right side
    6,264.93x = 31,220,532.25
  5. Step 5: Solve for x
    x = 31,220,532.25/6,264.93
  6. Step 6: Final answer
    x = 4,983.38

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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.