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Finding the Fourth Proportional to 27,845.80, 41,768.60 and 6,785.60

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Solution

The fourth proportional to 27,845.80, 41,768.60 and 6,785.60 is: 10,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,845.80 : 41,768.60 = 6,785.60 : x
  2. Step 2: Convert to fraction form
    27,845.80/41,768.60 = 6,785.60/x
  3. Step 3: Cross multiply
    27,845.80x = 41,768.60 × 6,785.60
  4. Step 4: Simplify right side
    27,845.80x = 283,425,012.16
  5. Step 5: Solve for x
    x = 283,425,012.16/27,845.80
  6. Step 6: Final answer
    x = 10,178.38

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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.