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Finding the Fourth Proportional to 6,992.64, 9,649.62 and 3,848.82

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Solution

The fourth proportional to 6,992.64, 9,649.62 and 3,848.82 is: 5,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.64 : 9,649.62 = 3,848.82 : x
  2. Step 2: Convert to fraction form
    6,992.64/9,649.62 = 3,848.82/x
  3. Step 3: Cross multiply
    6,992.64x = 9,649.62 × 3,848.82
  4. Step 4: Simplify right side
    6,992.64x = 37,139,650.45
  5. Step 5: Solve for x
    x = 37,139,650.45/6,992.64
  6. Step 6: Final answer
    x = 5,311.25

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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.