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Finding the Fourth Proportional to 6,507.41, 8,982.50 and 4,149.09

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Solution

The fourth proportional to 6,507.41, 8,982.50 and 4,149.09 is: 5,727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.41 : 8,982.50 = 4,149.09 : x
  2. Step 2: Convert to fraction form
    6,507.41/8,982.50 = 4,149.09/x
  3. Step 3: Cross multiply
    6,507.41x = 8,982.50 × 4,149.09
  4. Step 4: Simplify right side
    6,507.41x = 37,269,180.18
  5. Step 5: Solve for x
    x = 37,269,180.18/6,507.41
  6. Step 6: Final answer
    x = 5,727.20

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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.