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Finding the Fourth Proportional to 7,842.87, 11,764.22 and 1,999.42

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Solution

The fourth proportional to 7,842.87, 11,764.22 and 1,999.42 is: 2,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.87 : 11,764.22 = 1,999.42 : x
  2. Step 2: Convert to fraction form
    7,842.87/11,764.22 = 1,999.42/x
  3. Step 3: Cross multiply
    7,842.87x = 11,764.22 × 1,999.42
  4. Step 4: Simplify right side
    7,842.87x = 23,521,616.75
  5. Step 5: Solve for x
    x = 23,521,616.75/7,842.87
  6. Step 6: Final answer
    x = 2,999.11

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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.