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Finding the Fourth Proportional to 4,661.51, 6,992.25 and 3,196.22

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Solution

The fourth proportional to 4,661.51, 6,992.25 and 3,196.22 is: 4,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.51 : 6,992.25 = 3,196.22 : x
  2. Step 2: Convert to fraction form
    4,661.51/6,992.25 = 3,196.22/x
  3. Step 3: Cross multiply
    4,661.51x = 6,992.25 × 3,196.22
  4. Step 4: Simplify right side
    4,661.51x = 22,348,769.30
  5. Step 5: Solve for x
    x = 22,348,769.30/4,661.51
  6. Step 6: Final answer
    x = 4,794.32

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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.