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Finding the Fourth Proportional to 7,998.31, 11,995.80 and 2,153.53

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Solution

The fourth proportional to 7,998.31, 11,995.80 and 2,153.53 is: 3,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.31 : 11,995.80 = 2,153.53 : x
  2. Step 2: Convert to fraction form
    7,998.31/11,995.80 = 2,153.53/x
  3. Step 3: Cross multiply
    7,998.31x = 11,995.80 × 2,153.53
  4. Step 4: Simplify right side
    7,998.31x = 25,833,315.17
  5. Step 5: Solve for x
    x = 25,833,315.17/7,998.31
  6. Step 6: Final answer
    x = 3,229.85

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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.