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Finding the Fourth Proportional to 5,310.96, 7,968.60 and 5,169.84

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Solution

The fourth proportional to 5,310.96, 7,968.60 and 5,169.84 is: 7,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.96 : 7,968.60 = 5,169.84 : x
  2. Step 2: Convert to fraction form
    5,310.96/7,968.60 = 5,169.84/x
  3. Step 3: Cross multiply
    5,310.96x = 7,968.60 × 5,169.84
  4. Step 4: Simplify right side
    5,310.96x = 41,196,387.02
  5. Step 5: Solve for x
    x = 41,196,387.02/5,310.96
  6. Step 6: Final answer
    x = 7,756.86

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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.