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Finding the Fourth Proportional to 6,480.95, 8,942.19 and 3,828.76

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Solution

The fourth proportional to 6,480.95, 8,942.19 and 3,828.76 is: 5,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.95 : 8,942.19 = 3,828.76 : x
  2. Step 2: Convert to fraction form
    6,480.95/8,942.19 = 3,828.76/x
  3. Step 3: Cross multiply
    6,480.95x = 8,942.19 × 3,828.76
  4. Step 4: Simplify right side
    6,480.95x = 34,237,499.38
  5. Step 5: Solve for x
    x = 34,237,499.38/6,480.95
  6. Step 6: Final answer
    x = 5,282.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.