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Finding the Fourth Proportional to 6,894.68, 10,346.27 and 3,196.22

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Solution

The fourth proportional to 6,894.68, 10,346.27 and 3,196.22 is: 4,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.68 : 10,346.27 = 3,196.22 : x
  2. Step 2: Convert to fraction form
    6,894.68/10,346.27 = 3,196.22/x
  3. Step 3: Cross multiply
    6,894.68x = 10,346.27 × 3,196.22
  4. Step 4: Simplify right side
    6,894.68x = 33,068,887.39
  5. Step 5: Solve for x
    x = 33,068,887.39/6,894.68
  6. Step 6: Final answer
    x = 4,796.29

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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.