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Finding the Fourth Proportional to 11,805.75, 17,733.23 and 9,960.48

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Solution

The fourth proportional to 11,805.75, 17,733.23 and 9,960.48 is: 14,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.75 : 17,733.23 = 9,960.48 : x
  2. Step 2: Convert to fraction form
    11,805.75/17,733.23 = 9,960.48/x
  3. Step 3: Cross multiply
    11,805.75x = 17,733.23 × 9,960.48
  4. Step 4: Simplify right side
    11,805.75x = 176,631,482.75
  5. Step 5: Solve for x
    x = 176,631,482.75/11,805.75
  6. Step 6: Final answer
    x = 14,961.48

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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.