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Finding the Fourth Proportional to 6,827.44, 10,241.36 and 1,897.44

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Solution

The fourth proportional to 6,827.44, 10,241.36 and 1,897.44 is: 2,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.44 : 10,241.36 = 1,897.44 : x
  2. Step 2: Convert to fraction form
    6,827.44/10,241.36 = 1,897.44/x
  3. Step 3: Cross multiply
    6,827.44x = 10,241.36 × 1,897.44
  4. Step 4: Simplify right side
    6,827.44x = 19,432,366.12
  5. Step 5: Solve for x
    x = 19,432,366.12/6,827.44
  6. Step 6: Final answer
    x = 2,846.22

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1.5x scale

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.