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Finding the Fourth Proportional to 7,998.97, 11,973.84 and 5,219.66

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Solution

The fourth proportional to 7,998.97, 11,973.84 and 5,219.66 is: 7,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.97 : 11,973.84 = 5,219.66 : x
  2. Step 2: Convert to fraction form
    7,998.97/11,973.84 = 5,219.66/x
  3. Step 3: Cross multiply
    7,998.97x = 11,973.84 × 5,219.66
  4. Step 4: Simplify right side
    7,998.97x = 62,499,373.69
  5. Step 5: Solve for x
    x = 62,499,373.69/7,998.97
  6. Step 6: Final answer
    x = 7,813.43

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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.