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Finding the Fourth Proportional to 4,609.91, 6,914.97 and 4,522.43

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Solution

The fourth proportional to 4,609.91, 6,914.97 and 4,522.43 is: 6,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.91 : 6,914.97 = 4,522.43 : x
  2. Step 2: Convert to fraction form
    4,609.91/6,914.97 = 4,522.43/x
  3. Step 3: Cross multiply
    4,609.91x = 6,914.97 × 4,522.43
  4. Step 4: Simplify right side
    4,609.91x = 31,272,485.06
  5. Step 5: Solve for x
    x = 31,272,485.06/4,609.91
  6. Step 6: Final answer
    x = 6,783.75

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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.