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Finding the Fourth Proportional to 6,543.17, 9,811.71 and 2,843.49

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Solution

The fourth proportional to 6,543.17, 9,811.71 and 2,843.49 is: 4,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.17 : 9,811.71 = 2,843.49 : x
  2. Step 2: Convert to fraction form
    6,543.17/9,811.71 = 2,843.49/x
  3. Step 3: Cross multiply
    6,543.17x = 9,811.71 × 2,843.49
  4. Step 4: Simplify right side
    6,543.17x = 27,899,485.05
  5. Step 5: Solve for x
    x = 27,899,485.05/6,543.17
  6. Step 6: Final answer
    x = 4,263.91

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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.