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Finding the Fourth Proportional to 11,602.43, 16,017.91 and 8,022.63

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Solution

The fourth proportional to 11,602.43, 16,017.91 and 8,022.63 is: 11,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.43 : 16,017.91 = 8,022.63 : x
  2. Step 2: Convert to fraction form
    11,602.43/16,017.91 = 8,022.63/x
  3. Step 3: Cross multiply
    11,602.43x = 16,017.91 × 8,022.63
  4. Step 4: Simplify right side
    11,602.43x = 128,505,745.25
  5. Step 5: Solve for x
    x = 128,505,745.25/11,602.43
  6. Step 6: Final answer
    x = 11,075.77

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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.