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Finding the Fourth Proportional to 4,874.67, 7,311.22 and 1,364.31

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Solution

The fourth proportional to 4,874.67, 7,311.22 and 1,364.31 is: 2,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.67 : 7,311.22 = 1,364.31 : x
  2. Step 2: Convert to fraction form
    4,874.67/7,311.22 = 1,364.31/x
  3. Step 3: Cross multiply
    4,874.67x = 7,311.22 × 1,364.31
  4. Step 4: Simplify right side
    4,874.67x = 9,974,767.15
  5. Step 5: Solve for x
    x = 9,974,767.15/4,874.67
  6. Step 6: Final answer
    x = 2,046.24

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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.