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Finding the Fourth Proportional to 9,697.57, 14,535.07 and 5,540.49

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Solution

The fourth proportional to 9,697.57, 14,535.07 and 5,540.49 is: 8,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.57 : 14,535.07 = 5,540.49 : x
  2. Step 2: Convert to fraction form
    9,697.57/14,535.07 = 5,540.49/x
  3. Step 3: Cross multiply
    9,697.57x = 14,535.07 × 5,540.49
  4. Step 4: Simplify right side
    9,697.57x = 80,531,396.13
  5. Step 5: Solve for x
    x = 80,531,396.13/9,697.57
  6. Step 6: Final answer
    x = 8,304.29

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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.