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Finding the Fourth Proportional to 4,609.98, 6,914.67 and 1,147.23

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Solution

The fourth proportional to 4,609.98, 6,914.67 and 1,147.23 is: 1,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.98 : 6,914.67 = 1,147.23 : x
  2. Step 2: Convert to fraction form
    4,609.98/6,914.67 = 1,147.23/x
  3. Step 3: Cross multiply
    4,609.98x = 6,914.67 × 1,147.23
  4. Step 4: Simplify right side
    4,609.98x = 7,932,712.56
  5. Step 5: Solve for x
    x = 7,932,712.56/4,609.98
  6. Step 6: Final answer
    x = 1,720.77

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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.