Home / 11,206-16,811.78-4,634.08

Finding the Fourth Proportional to 11,206, 16,811.78 and 4,634.08

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Solution

The fourth proportional to 11,206, 16,811.78 and 4,634.08 is: 6,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206 : 16,811.78 = 4,634.08 : x
  2. Step 2: Convert to fraction form
    11,206/16,811.78 = 4,634.08/x
  3. Step 3: Cross multiply
    11,206x = 16,811.78 × 4,634.08
  4. Step 4: Simplify right side
    11,206x = 77,907,133.46
  5. Step 5: Solve for x
    x = 77,907,133.46/11,206
  6. Step 6: Final answer
    x = 6,952.27

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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.