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Finding the Fourth Proportional to 11,283.51, 16,908.86 and 8,003.01

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Solution

The fourth proportional to 11,283.51, 16,908.86 and 8,003.01 is: 11,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.51 : 16,908.86 = 8,003.01 : x
  2. Step 2: Convert to fraction form
    11,283.51/16,908.86 = 8,003.01/x
  3. Step 3: Cross multiply
    11,283.51x = 16,908.86 × 8,003.01
  4. Step 4: Simplify right side
    11,283.51x = 135,321,651.11
  5. Step 5: Solve for x
    x = 135,321,651.11/11,283.51
  6. Step 6: Final answer
    x = 11,992.87

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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.