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Finding the Fourth Proportional to 6,690.49, 9,223.26 and 4,694.86

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Solution

The fourth proportional to 6,690.49, 9,223.26 and 4,694.86 is: 6,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.49 : 9,223.26 = 4,694.86 : x
  2. Step 2: Convert to fraction form
    6,690.49/9,223.26 = 4,694.86/x
  3. Step 3: Cross multiply
    6,690.49x = 9,223.26 × 4,694.86
  4. Step 4: Simplify right side
    6,690.49x = 43,301,914.44
  5. Step 5: Solve for x
    x = 43,301,914.44/6,690.49
  6. Step 6: Final answer
    x = 6,472.16

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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.