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Finding the Fourth Proportional to 6,874.50, 10,311.84 and 1,944.06

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Solution

The fourth proportional to 6,874.50, 10,311.84 and 1,944.06 is: 2,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.50 : 10,311.84 = 1,944.06 : x
  2. Step 2: Convert to fraction form
    6,874.50/10,311.84 = 1,944.06/x
  3. Step 3: Cross multiply
    6,874.50x = 10,311.84 × 1,944.06
  4. Step 4: Simplify right side
    6,874.50x = 20,046,835.67
  5. Step 5: Solve for x
    x = 20,046,835.67/6,874.50
  6. Step 6: Final answer
    x = 2,916.12

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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.