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Finding the Fourth Proportional to 5,947.49, 8,922.25 and 1,999.12

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Solution

The fourth proportional to 5,947.49, 8,922.25 and 1,999.12 is: 2,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.49 : 8,922.25 = 1,999.12 : x
  2. Step 2: Convert to fraction form
    5,947.49/8,922.25 = 1,999.12/x
  3. Step 3: Cross multiply
    5,947.49x = 8,922.25 × 1,999.12
  4. Step 4: Simplify right side
    5,947.49x = 17,836,648.42
  5. Step 5: Solve for x
    x = 17,836,648.42/5,947.49
  6. Step 6: Final answer
    x = 2,999.02

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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.