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Finding the Fourth Proportional to 10,940.76, 16,410.56 and 6,197.22

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Solution

The fourth proportional to 10,940.76, 16,410.56 and 6,197.22 is: 9,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.76 : 16,410.56 = 6,197.22 : x
  2. Step 2: Convert to fraction form
    10,940.76/16,410.56 = 6,197.22/x
  3. Step 3: Cross multiply
    10,940.76x = 16,410.56 × 6,197.22
  4. Step 4: Simplify right side
    10,940.76x = 101,699,819.66
  5. Step 5: Solve for x
    x = 101,699,819.66/10,940.76
  6. Step 6: Final answer
    x = 9,295.50

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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.