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Finding the Fourth Proportional to 5,843.98, 8,766.06 and 1,684.36

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Solution

The fourth proportional to 5,843.98, 8,766.06 and 1,684.36 is: 2,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.98 : 8,766.06 = 1,684.36 : x
  2. Step 2: Convert to fraction form
    5,843.98/8,766.06 = 1,684.36/x
  3. Step 3: Cross multiply
    5,843.98x = 8,766.06 × 1,684.36
  4. Step 4: Simplify right side
    5,843.98x = 14,765,200.82
  5. Step 5: Solve for x
    x = 14,765,200.82/5,843.98
  6. Step 6: Final answer
    x = 2,526.57

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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.