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Finding the Fourth Proportional to 4,670.62, 6,998.62 and 3,974.43

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Solution

The fourth proportional to 4,670.62, 6,998.62 and 3,974.43 is: 5,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.62 : 6,998.62 = 3,974.43 : x
  2. Step 2: Convert to fraction form
    4,670.62/6,998.62 = 3,974.43/x
  3. Step 3: Cross multiply
    4,670.62x = 6,998.62 × 3,974.43
  4. Step 4: Simplify right side
    4,670.62x = 27,815,525.29
  5. Step 5: Solve for x
    x = 27,815,525.29/4,670.62
  6. Step 6: Final answer
    x = 5,955.42

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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.