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Finding the Fourth Proportional to 6,996.63, 9,656.67 and 4,014.41

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Solution

The fourth proportional to 6,996.63, 9,656.67 and 4,014.41 is: 5,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.63 : 9,656.67 = 4,014.41 : x
  2. Step 2: Convert to fraction form
    6,996.63/9,656.67 = 4,014.41/x
  3. Step 3: Cross multiply
    6,996.63x = 9,656.67 × 4,014.41
  4. Step 4: Simplify right side
    6,996.63x = 38,765,831.12
  5. Step 5: Solve for x
    x = 38,765,831.12/6,996.63
  6. Step 6: Final answer
    x = 5,540.64

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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.