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Finding the Fourth Proportional to 11,614.98, 17,434.74 and 7,235.44

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Solution

The fourth proportional to 11,614.98, 17,434.74 and 7,235.44 is: 10,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.98 : 17,434.74 = 7,235.44 : x
  2. Step 2: Convert to fraction form
    11,614.98/17,434.74 = 7,235.44/x
  3. Step 3: Cross multiply
    11,614.98x = 17,434.74 × 7,235.44
  4. Step 4: Simplify right side
    11,614.98x = 126,148,015.19
  5. Step 5: Solve for x
    x = 126,148,015.19/11,614.98
  6. Step 6: Final answer
    x = 10,860.80

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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.