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Finding the Fourth Proportional to 4,961.11, 7,444.09 and 1,999.42

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Solution

The fourth proportional to 4,961.11, 7,444.09 and 1,999.42 is: 3,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.11 : 7,444.09 = 1,999.42 : x
  2. Step 2: Convert to fraction form
    4,961.11/7,444.09 = 1,999.42/x
  3. Step 3: Cross multiply
    4,961.11x = 7,444.09 × 1,999.42
  4. Step 4: Simplify right side
    4,961.11x = 14,883,825.21
  5. Step 5: Solve for x
    x = 14,883,825.21/4,961.11
  6. Step 6: Final answer
    x = 3,000.10

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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.