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Finding the Fourth Proportional to 5,982.30, 8,249.58 and 5,085

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Solution

The fourth proportional to 5,982.30, 8,249.58 and 5,085 is: 7,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.30 : 8,249.58 = 5,085 : x
  2. Step 2: Convert to fraction form
    5,982.30/8,249.58 = 5,085/x
  3. Step 3: Cross multiply
    5,982.30x = 8,249.58 × 5,085
  4. Step 4: Simplify right side
    5,982.30x = 41,949,114.30
  5. Step 5: Solve for x
    x = 41,949,114.30/5,982.30
  6. Step 6: Final answer
    x = 7,012.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.