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Finding the Fourth Proportional to 5,843.91, 8,763.70 and 1,682.51

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Solution

The fourth proportional to 5,843.91, 8,763.70 and 1,682.51 is: 2,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.91 : 8,763.70 = 1,682.51 : x
  2. Step 2: Convert to fraction form
    5,843.91/8,763.70 = 1,682.51/x
  3. Step 3: Cross multiply
    5,843.91x = 8,763.70 × 1,682.51
  4. Step 4: Simplify right side
    5,843.91x = 14,745,012.89
  5. Step 5: Solve for x
    x = 14,745,012.89/5,843.91
  6. Step 6: Final answer
    x = 2,523.14

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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.