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Finding the Fourth Proportional to 6,783.88, 10,177.44 and 2,341.60

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Solution

The fourth proportional to 6,783.88, 10,177.44 and 2,341.60 is: 3,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.88 : 10,177.44 = 2,341.60 : x
  2. Step 2: Convert to fraction form
    6,783.88/10,177.44 = 2,341.60/x
  3. Step 3: Cross multiply
    6,783.88x = 10,177.44 × 2,341.60
  4. Step 4: Simplify right side
    6,783.88x = 23,831,493.50
  5. Step 5: Solve for x
    x = 23,831,493.50/6,783.88
  6. Step 6: Final answer
    x = 3,512.96

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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.