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Finding the Fourth Proportional to 6,974.44, 10,461.74 and 2,294.80

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Solution

The fourth proportional to 6,974.44, 10,461.74 and 2,294.80 is: 3,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.44 : 10,461.74 = 2,294.80 : x
  2. Step 2: Convert to fraction form
    6,974.44/10,461.74 = 2,294.80/x
  3. Step 3: Cross multiply
    6,974.44x = 10,461.74 × 2,294.80
  4. Step 4: Simplify right side
    6,974.44x = 24,007,563.32
  5. Step 5: Solve for x
    x = 24,007,563.32/6,974.44
  6. Step 6: Final answer
    x = 3,442.22

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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.