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Finding the Fourth Proportional to 4,537.98, 6,809.90 and 1,940.94

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Solution

The fourth proportional to 4,537.98, 6,809.90 and 1,940.94 is: 2,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.98 : 6,809.90 = 1,940.94 : x
  2. Step 2: Convert to fraction form
    4,537.98/6,809.90 = 1,940.94/x
  3. Step 3: Cross multiply
    4,537.98x = 6,809.90 × 1,940.94
  4. Step 4: Simplify right side
    4,537.98x = 13,217,597.60
  5. Step 5: Solve for x
    x = 13,217,597.60/4,537.98
  6. Step 6: Final answer
    x = 2,912.66

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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.