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Finding the Fourth Proportional to 6,801.60, 10,203.84 and 2,184

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Solution

The fourth proportional to 6,801.60, 10,203.84 and 2,184 is: 3,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.60 : 10,203.84 = 2,184 : x
  2. Step 2: Convert to fraction form
    6,801.60/10,203.84 = 2,184/x
  3. Step 3: Cross multiply
    6,801.60x = 10,203.84 × 2,184
  4. Step 4: Simplify right side
    6,801.60x = 22,285,186.56
  5. Step 5: Solve for x
    x = 22,285,186.56/6,801.60
  6. Step 6: Final answer
    x = 3,276.46

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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.