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Finding the Fourth Proportional to 6,896, 9,516.48 and 3,752

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Solution

The fourth proportional to 6,896, 9,516.48 and 3,752 is: 5,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896 : 9,516.48 = 3,752 : x
  2. Step 2: Convert to fraction form
    6,896/9,516.48 = 3,752/x
  3. Step 3: Cross multiply
    6,896x = 9,516.48 × 3,752
  4. Step 4: Simplify right side
    6,896x = 35,705,832.96
  5. Step 5: Solve for x
    x = 35,705,832.96/6,896
  6. Step 6: Final answer
    x = 5,177.76

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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.