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Finding the Fourth Proportional to 6,890, 10,335 and 2,273.36

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Solution

The fourth proportional to 6,890, 10,335 and 2,273.36 is: 3,410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890 : 10,335 = 2,273.36 : x
  2. Step 2: Convert to fraction form
    6,890/10,335 = 2,273.36/x
  3. Step 3: Cross multiply
    6,890x = 10,335 × 2,273.36
  4. Step 4: Simplify right side
    6,890x = 23,495,175.60
  5. Step 5: Solve for x
    x = 23,495,175.60/6,890
  6. Step 6: Final answer
    x = 3,410.04

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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.