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Finding the Fourth Proportional to 6,261.70, 9,392.70 and 2,101.84

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Solution

The fourth proportional to 6,261.70, 9,392.70 and 2,101.84 is: 3,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.70 : 9,392.70 = 2,101.84 : x
  2. Step 2: Convert to fraction form
    6,261.70/9,392.70 = 2,101.84/x
  3. Step 3: Cross multiply
    6,261.70x = 9,392.70 × 2,101.84
  4. Step 4: Simplify right side
    6,261.70x = 19,741,976.05
  5. Step 5: Solve for x
    x = 19,741,976.05/6,261.70
  6. Step 6: Final answer
    x = 3,152.81

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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.