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Finding the Fourth Proportional to 6,899.36, 9,518.16 and 4,245.80

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Solution

The fourth proportional to 6,899.36, 9,518.16 and 4,245.80 is: 5,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.36 : 9,518.16 = 4,245.80 : x
  2. Step 2: Convert to fraction form
    6,899.36/9,518.16 = 4,245.80/x
  3. Step 3: Cross multiply
    6,899.36x = 9,518.16 × 4,245.80
  4. Step 4: Simplify right side
    6,899.36x = 40,412,203.73
  5. Step 5: Solve for x
    x = 40,412,203.73/6,899.36
  6. Step 6: Final answer
    x = 5,857.38

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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.