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Finding the Fourth Proportional to 6,843.60, 10,265.40 and 1,649.48

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Solution

The fourth proportional to 6,843.60, 10,265.40 and 1,649.48 is: 2,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.60 : 10,265.40 = 1,649.48 : x
  2. Step 2: Convert to fraction form
    6,843.60/10,265.40 = 1,649.48/x
  3. Step 3: Cross multiply
    6,843.60x = 10,265.40 × 1,649.48
  4. Step 4: Simplify right side
    6,843.60x = 16,932,520.67
  5. Step 5: Solve for x
    x = 16,932,520.67/6,843.60
  6. Step 6: Final answer
    x = 2,474.21

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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.