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Finding the Fourth Proportional to 7,674.93, 11,512.59 and 5,739.42

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Solution

The fourth proportional to 7,674.93, 11,512.59 and 5,739.42 is: 8,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.93 : 11,512.59 = 5,739.42 : x
  2. Step 2: Convert to fraction form
    7,674.93/11,512.59 = 5,739.42/x
  3. Step 3: Cross multiply
    7,674.93x = 11,512.59 × 5,739.42
  4. Step 4: Simplify right side
    7,674.93x = 66,075,589.30
  5. Step 5: Solve for x
    x = 66,075,589.30/7,674.93
  6. Step 6: Final answer
    x = 8,609.28

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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.