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Finding the Fourth Proportional to 4,776.97, 7,163.15 and 1,999.82

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Solution

The fourth proportional to 4,776.97, 7,163.15 and 1,999.82 is: 2,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.97 : 7,163.15 = 1,999.82 : x
  2. Step 2: Convert to fraction form
    4,776.97/7,163.15 = 1,999.82/x
  3. Step 3: Cross multiply
    4,776.97x = 7,163.15 × 1,999.82
  4. Step 4: Simplify right side
    4,776.97x = 14,325,038.40
  5. Step 5: Solve for x
    x = 14,325,038.40/4,776.97
  6. Step 6: Final answer
    x = 2,998.77

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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.