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Finding the Fourth Proportional to 9,564.91, 14,369.92 and 5,626.26

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Solution

The fourth proportional to 9,564.91, 14,369.92 and 5,626.26 is: 8,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.91 : 14,369.92 = 5,626.26 : x
  2. Step 2: Convert to fraction form
    9,564.91/14,369.92 = 5,626.26/x
  3. Step 3: Cross multiply
    9,564.91x = 14,369.92 × 5,626.26
  4. Step 4: Simplify right side
    9,564.91x = 80,848,892.03
  5. Step 5: Solve for x
    x = 80,848,892.03/9,564.91
  6. Step 6: Final answer
    x = 8,452.66

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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.