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Finding the Fourth Proportional to 11,972.03, 16,523.37 and 9,134.01

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Solution

The fourth proportional to 11,972.03, 16,523.37 and 9,134.01 is: 12,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.03 : 16,523.37 = 9,134.01 : x
  2. Step 2: Convert to fraction form
    11,972.03/16,523.37 = 9,134.01/x
  3. Step 3: Cross multiply
    11,972.03x = 16,523.37 × 9,134.01
  4. Step 4: Simplify right side
    11,972.03x = 150,924,626.81
  5. Step 5: Solve for x
    x = 150,924,626.81/11,972.03
  6. Step 6: Final answer
    x = 12,606.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.