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Finding the Fourth Proportional to 11,163.51, 16,748.10 and 7,883.01

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Solution

The fourth proportional to 11,163.51, 16,748.10 and 7,883.01 is: 11,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.51 : 16,748.10 = 7,883.01 : x
  2. Step 2: Convert to fraction form
    11,163.51/16,748.10 = 7,883.01/x
  3. Step 3: Cross multiply
    11,163.51x = 16,748.10 × 7,883.01
  4. Step 4: Simplify right side
    11,163.51x = 132,025,439.78
  5. Step 5: Solve for x
    x = 132,025,439.78/11,163.51
  6. Step 6: Final answer
    x = 11,826.52

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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.