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Finding the Fourth Proportional to 6,369, 8,785.41 and 4,007.04

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Solution

The fourth proportional to 6,369, 8,785.41 and 4,007.04 is: 5,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369 : 8,785.41 = 4,007.04 : x
  2. Step 2: Convert to fraction form
    6,369/8,785.41 = 4,007.04/x
  3. Step 3: Cross multiply
    6,369x = 8,785.41 × 4,007.04
  4. Step 4: Simplify right side
    6,369x = 35,203,489.29
  5. Step 5: Solve for x
    x = 35,203,489.29/6,369
  6. Step 6: Final answer
    x = 5,527.32

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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.