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Finding the Fourth Proportional to 6,974.60, 10,458.60 and 4,053.80

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Solution

The fourth proportional to 6,974.60, 10,458.60 and 4,053.80 is: 6,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.60 : 10,458.60 = 4,053.80 : x
  2. Step 2: Convert to fraction form
    6,974.60/10,458.60 = 4,053.80/x
  3. Step 3: Cross multiply
    6,974.60x = 10,458.60 × 4,053.80
  4. Step 4: Simplify right side
    6,974.60x = 42,397,072.68
  5. Step 5: Solve for x
    x = 42,397,072.68/6,974.60
  6. Step 6: Final answer
    x = 6,078.78

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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.