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Finding the Fourth Proportional to 5,914.92, 8,109.66 and 5,809.56

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Solution

The fourth proportional to 5,914.92, 8,109.66 and 5,809.56 is: 7,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.92 : 8,109.66 = 5,809.56 : x
  2. Step 2: Convert to fraction form
    5,914.92/8,109.66 = 5,809.56/x
  3. Step 3: Cross multiply
    5,914.92x = 8,109.66 × 5,809.56
  4. Step 4: Simplify right side
    5,914.92x = 47,113,556.35
  5. Step 5: Solve for x
    x = 47,113,556.35/5,914.92
  6. Step 6: Final answer
    x = 7,965.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.