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Finding the Fourth Proportional to 11,754.56, 16,224.01 and 7,555.52

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Solution

The fourth proportional to 11,754.56, 16,224.01 and 7,555.52 is: 10,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.56 : 16,224.01 = 7,555.52 : x
  2. Step 2: Convert to fraction form
    11,754.56/16,224.01 = 7,555.52/x
  3. Step 3: Cross multiply
    11,754.56x = 16,224.01 × 7,555.52
  4. Step 4: Simplify right side
    11,754.56x = 122,580,832.04
  5. Step 5: Solve for x
    x = 122,580,832.04/11,754.56
  6. Step 6: Final answer
    x = 10,428.36

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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.