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Finding the Fourth Proportional to 11,820.55, 17,730.75 and 6,819.68

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Solution

The fourth proportional to 11,820.55, 17,730.75 and 6,819.68 is: 10,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.55 : 17,730.75 = 6,819.68 : x
  2. Step 2: Convert to fraction form
    11,820.55/17,730.75 = 6,819.68/x
  3. Step 3: Cross multiply
    11,820.55x = 17,730.75 × 6,819.68
  4. Step 4: Simplify right side
    11,820.55x = 120,918,007.06
  5. Step 5: Solve for x
    x = 120,918,007.06/11,820.55
  6. Step 6: Final answer
    x = 10,229.48

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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.