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Finding the Fourth Proportional to 6,302.67, 9,454.19 and 1,919.67

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Solution

The fourth proportional to 6,302.67, 9,454.19 and 1,919.67 is: 2,879.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.67 : 9,454.19 = 1,919.67 : x
  2. Step 2: Convert to fraction form
    6,302.67/9,454.19 = 1,919.67/x
  3. Step 3: Cross multiply
    6,302.67x = 9,454.19 × 1,919.67
  4. Step 4: Simplify right side
    6,302.67x = 18,148,915.32
  5. Step 5: Solve for x
    x = 18,148,915.32/6,302.67
  6. Step 6: Final answer
    x = 2,879.56

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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.