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Finding the Fourth Proportional to 11,614.72, 16,024.08 and 7,637.44

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Solution

The fourth proportional to 11,614.72, 16,024.08 and 7,637.44 is: 10,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.72 : 16,024.08 = 7,637.44 : x
  2. Step 2: Convert to fraction form
    11,614.72/16,024.08 = 7,637.44/x
  3. Step 3: Cross multiply
    11,614.72x = 16,024.08 × 7,637.44
  4. Step 4: Simplify right side
    11,614.72x = 122,382,949.56
  5. Step 5: Solve for x
    x = 122,382,949.56/11,614.72
  6. Step 6: Final answer
    x = 10,536.88

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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.