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Finding the Fourth Proportional to 6,661.68, 9,192.96 and 3,867

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Solution

The fourth proportional to 6,661.68, 9,192.96 and 3,867 is: 5,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.68 : 9,192.96 = 3,867 : x
  2. Step 2: Convert to fraction form
    6,661.68/9,192.96 = 3,867/x
  3. Step 3: Cross multiply
    6,661.68x = 9,192.96 × 3,867
  4. Step 4: Simplify right side
    6,661.68x = 35,549,176.32
  5. Step 5: Solve for x
    x = 35,549,176.32/6,661.68
  6. Step 6: Final answer
    x = 5,336.37

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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.