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Finding the Fourth Proportional to 11,496.36, 15,859.62 and 7,245.48

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Solution

The fourth proportional to 11,496.36, 15,859.62 and 7,245.48 is: 9,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.36 : 15,859.62 = 7,245.48 : x
  2. Step 2: Convert to fraction form
    11,496.36/15,859.62 = 7,245.48/x
  3. Step 3: Cross multiply
    11,496.36x = 15,859.62 × 7,245.48
  4. Step 4: Simplify right side
    11,496.36x = 114,910,559.52
  5. Step 5: Solve for x
    x = 114,910,559.52/11,496.36
  6. Step 6: Final answer
    x = 9,995.39

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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.