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Finding the Fourth Proportional to 17,109.88, 25,655.88 and 7,745.44

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Solution

The fourth proportional to 17,109.88, 25,655.88 and 7,745.44 is: 11,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,109.88 : 25,655.88 = 7,745.44 : x
  2. Step 2: Convert to fraction form
    17,109.88/25,655.88 = 7,745.44/x
  3. Step 3: Cross multiply
    17,109.88x = 25,655.88 × 7,745.44
  4. Step 4: Simplify right side
    17,109.88x = 198,716,079.19
  5. Step 5: Solve for x
    x = 198,716,079.19/17,109.88
  6. Step 6: Final answer
    x = 11,614.11

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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.