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Finding the Fourth Proportional to 6,801.36, 10,201.32 and 2,184

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Solution

The fourth proportional to 6,801.36, 10,201.32 and 2,184 is: 3,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.36 : 10,201.32 = 2,184 : x
  2. Step 2: Convert to fraction form
    6,801.36/10,201.32 = 2,184/x
  3. Step 3: Cross multiply
    6,801.36x = 10,201.32 × 2,184
  4. Step 4: Simplify right side
    6,801.36x = 22,279,682.88
  5. Step 5: Solve for x
    x = 22,279,682.88/6,801.36
  6. Step 6: Final answer
    x = 3,275.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.