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Finding the Fourth Proportional to 5,968.53, 8,951.45 and 2,269.44

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Solution

The fourth proportional to 5,968.53, 8,951.45 and 2,269.44 is: 3,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.53 : 8,951.45 = 2,269.44 : x
  2. Step 2: Convert to fraction form
    5,968.53/8,951.45 = 2,269.44/x
  3. Step 3: Cross multiply
    5,968.53x = 8,951.45 × 2,269.44
  4. Step 4: Simplify right side
    5,968.53x = 20,314,767.34
  5. Step 5: Solve for x
    x = 20,314,767.34/5,968.53
  6. Step 6: Final answer
    x = 3,403.65

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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.