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Finding the Fourth Proportional to 6,653.38, 9,180.84 and 3,669.40

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Solution

The fourth proportional to 6,653.38, 9,180.84 and 3,669.40 is: 5,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.38 : 9,180.84 = 3,669.40 : x
  2. Step 2: Convert to fraction form
    6,653.38/9,180.84 = 3,669.40/x
  3. Step 3: Cross multiply
    6,653.38x = 9,180.84 × 3,669.40
  4. Step 4: Simplify right side
    6,653.38x = 33,688,174.30
  5. Step 5: Solve for x
    x = 33,688,174.30/6,653.38
  6. Step 6: Final answer
    x = 5,063.32

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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.