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Finding the Fourth Proportional to 8,213.94, 11,323.94 and 6,196.46

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Solution

The fourth proportional to 8,213.94, 11,323.94 and 6,196.46 is: 8,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.94 : 11,323.94 = 6,196.46 : x
  2. Step 2: Convert to fraction form
    8,213.94/11,323.94 = 6,196.46/x
  3. Step 3: Cross multiply
    8,213.94x = 11,323.94 × 6,196.46
  4. Step 4: Simplify right side
    8,213.94x = 70,168,253.65
  5. Step 5: Solve for x
    x = 70,168,253.65/8,213.94
  6. Step 6: Final answer
    x = 8,542.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.