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Finding the Fourth Proportional to 7,865.78, 11,798.67 and 2,022.40

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Solution

The fourth proportional to 7,865.78, 11,798.67 and 2,022.40 is: 3,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.78 : 11,798.67 = 2,022.40 : x
  2. Step 2: Convert to fraction form
    7,865.78/11,798.67 = 2,022.40/x
  3. Step 3: Cross multiply
    7,865.78x = 11,798.67 × 2,022.40
  4. Step 4: Simplify right side
    7,865.78x = 23,861,571.21
  5. Step 5: Solve for x
    x = 23,861,571.21/7,865.78
  6. Step 6: Final answer
    x = 3,033.59

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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.