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Finding the Fourth Proportional to 5,975.68, 8,247.14 and 3,617.80

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Solution

The fourth proportional to 5,975.68, 8,247.14 and 3,617.80 is: 4,992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.68 : 8,247.14 = 3,617.80 : x
  2. Step 2: Convert to fraction form
    5,975.68/8,247.14 = 3,617.80/x
  3. Step 3: Cross multiply
    5,975.68x = 8,247.14 × 3,617.80
  4. Step 4: Simplify right side
    5,975.68x = 29,836,503.09
  5. Step 5: Solve for x
    x = 29,836,503.09/5,975.68
  6. Step 6: Final answer
    x = 4,992.99

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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.