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Finding the Fourth Proportional to 11,800.89, 17,682.10 and 6,874.67

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Solution

The fourth proportional to 11,800.89, 17,682.10 and 6,874.67 is: 10,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.89 : 17,682.10 = 6,874.67 : x
  2. Step 2: Convert to fraction form
    11,800.89/17,682.10 = 6,874.67/x
  3. Step 3: Cross multiply
    11,800.89x = 17,682.10 × 6,874.67
  4. Step 4: Simplify right side
    11,800.89x = 121,558,629.43
  5. Step 5: Solve for x
    x = 121,558,629.43/11,800.89
  6. Step 6: Final answer
    x = 10,300.80

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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.