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Finding the Fourth Proportional to 6,348.96, 9,512.88 and 2,186.70

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Solution

The fourth proportional to 6,348.96, 9,512.88 and 2,186.70 is: 3,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.96 : 9,512.88 = 2,186.70 : x
  2. Step 2: Convert to fraction form
    6,348.96/9,512.88 = 2,186.70/x
  3. Step 3: Cross multiply
    6,348.96x = 9,512.88 × 2,186.70
  4. Step 4: Simplify right side
    6,348.96x = 20,801,814.70
  5. Step 5: Solve for x
    x = 20,801,814.70/6,348.96
  6. Step 6: Final answer
    x = 3,276.41

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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.