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Finding the Fourth Proportional to 6,684.32, 9,224.72 and 4,201.12

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Solution

The fourth proportional to 6,684.32, 9,224.72 and 4,201.12 is: 5,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.32 : 9,224.72 = 4,201.12 : x
  2. Step 2: Convert to fraction form
    6,684.32/9,224.72 = 4,201.12/x
  3. Step 3: Cross multiply
    6,684.32x = 9,224.72 × 4,201.12
  4. Step 4: Simplify right side
    6,684.32x = 38,754,155.69
  5. Step 5: Solve for x
    x = 38,754,155.69/6,684.32
  6. Step 6: Final answer
    x = 5,797.77

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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.