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Finding the Fourth Proportional to 4,642.58, 6,961.11 and 3,083.42

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Solution

The fourth proportional to 4,642.58, 6,961.11 and 3,083.42 is: 4,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.58 : 6,961.11 = 3,083.42 : x
  2. Step 2: Convert to fraction form
    4,642.58/6,961.11 = 3,083.42/x
  3. Step 3: Cross multiply
    4,642.58x = 6,961.11 × 3,083.42
  4. Step 4: Simplify right side
    4,642.58x = 21,463,990.99
  5. Step 5: Solve for x
    x = 21,463,990.99/4,642.58
  6. Step 6: Final answer
    x = 4,623.29

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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.