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Finding the Fourth Proportional to 6,992.54, 9,649.61 and 5,208

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Solution

The fourth proportional to 6,992.54, 9,649.61 and 5,208 is: 7,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.54 : 9,649.61 = 5,208 : x
  2. Step 2: Convert to fraction form
    6,992.54/9,649.61 = 5,208/x
  3. Step 3: Cross multiply
    6,992.54x = 9,649.61 × 5,208
  4. Step 4: Simplify right side
    6,992.54x = 50,255,142.84
  5. Step 5: Solve for x
    x = 50,255,142.84/6,992.54
  6. Step 6: Final answer
    x = 7,186.97

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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.