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Finding the Fourth Proportional to 5,309.96, 7,967.10 and 5,168.84

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Solution

The fourth proportional to 5,309.96, 7,967.10 and 5,168.84 is: 7,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.96 : 7,967.10 = 5,168.84 : x
  2. Step 2: Convert to fraction form
    5,309.96/7,967.10 = 5,168.84/x
  3. Step 3: Cross multiply
    5,309.96x = 7,967.10 × 5,168.84
  4. Step 4: Simplify right side
    5,309.96x = 41,180,665.16
  5. Step 5: Solve for x
    x = 41,180,665.16/5,309.96
  6. Step 6: Final answer
    x = 7,755.36

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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.