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Finding the Fourth Proportional to 6,483.15, 9,724.77 and 2,782.26

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Solution

The fourth proportional to 6,483.15, 9,724.77 and 2,782.26 is: 4,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.15 : 9,724.77 = 2,782.26 : x
  2. Step 2: Convert to fraction form
    6,483.15/9,724.77 = 2,782.26/x
  3. Step 3: Cross multiply
    6,483.15x = 9,724.77 × 2,782.26
  4. Step 4: Simplify right side
    6,483.15x = 27,056,838.58
  5. Step 5: Solve for x
    x = 27,056,838.58/6,483.15
  6. Step 6: Final answer
    x = 4,173.41

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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.