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Finding the Fourth Proportional to 6,736.38, 9,304.92 and 5,801.64

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Solution

The fourth proportional to 6,736.38, 9,304.92 and 5,801.64 is: 8,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.38 : 9,304.92 = 5,801.64 : x
  2. Step 2: Convert to fraction form
    6,736.38/9,304.92 = 5,801.64/x
  3. Step 3: Cross multiply
    6,736.38x = 9,304.92 × 5,801.64
  4. Step 4: Simplify right side
    6,736.38x = 53,983,796.07
  5. Step 5: Solve for x
    x = 53,983,796.07/6,736.38
  6. Step 6: Final answer
    x = 8,013.77

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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.