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Finding the Fourth Proportional to 8,010.92, 11,942.33 and 7,884.68

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Solution

The fourth proportional to 8,010.92, 11,942.33 and 7,884.68 is: 11,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.92 : 11,942.33 = 7,884.68 : x
  2. Step 2: Convert to fraction form
    8,010.92/11,942.33 = 7,884.68/x
  3. Step 3: Cross multiply
    8,010.92x = 11,942.33 × 7,884.68
  4. Step 4: Simplify right side
    8,010.92x = 94,161,450.50
  5. Step 5: Solve for x
    x = 94,161,450.50/8,010.92
  6. Step 6: Final answer
    x = 11,754.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.