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Finding the Fourth Proportional to 11,820.80, 16,314.80 and 7,105.40

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Solution

The fourth proportional to 11,820.80, 16,314.80 and 7,105.40 is: 9,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.80 : 16,314.80 = 7,105.40 : x
  2. Step 2: Convert to fraction form
    11,820.80/16,314.80 = 7,105.40/x
  3. Step 3: Cross multiply
    11,820.80x = 16,314.80 × 7,105.40
  4. Step 4: Simplify right side
    11,820.80x = 115,923,179.92
  5. Step 5: Solve for x
    x = 115,923,179.92/11,820.80
  6. Step 6: Final answer
    x = 9,806.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.