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Finding the Fourth Proportional to 5,843.57, 8,766.74 and 1,683.47

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Solution

The fourth proportional to 5,843.57, 8,766.74 and 1,683.47 is: 2,525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.57 : 8,766.74 = 1,683.47 : x
  2. Step 2: Convert to fraction form
    5,843.57/8,766.74 = 1,683.47/x
  3. Step 3: Cross multiply
    5,843.57x = 8,766.74 × 1,683.47
  4. Step 4: Simplify right side
    5,843.57x = 14,758,557.29
  5. Step 5: Solve for x
    x = 14,758,557.29/5,843.57
  6. Step 6: Final answer
    x = 2,525.61

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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.