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Finding the Fourth Proportional to 5,843.26, 8,766.23 and 1,683.30

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Solution

The fourth proportional to 5,843.26, 8,766.23 and 1,683.30 is: 2,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.26 : 8,766.23 = 1,683.30 : x
  2. Step 2: Convert to fraction form
    5,843.26/8,766.23 = 1,683.30/x
  3. Step 3: Cross multiply
    5,843.26x = 8,766.23 × 1,683.30
  4. Step 4: Simplify right side
    5,843.26x = 14,756,194.96
  5. Step 5: Solve for x
    x = 14,756,194.96/5,843.26
  6. Step 6: Final answer
    x = 2,525.34

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1.5x scale

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.