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Finding the Fourth Proportional to 10,733.97, 14,813.78 and 5,955.41

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Solution

The fourth proportional to 10,733.97, 14,813.78 and 5,955.41 is: 8,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.97 : 14,813.78 = 5,955.41 : x
  2. Step 2: Convert to fraction form
    10,733.97/14,813.78 = 5,955.41/x
  3. Step 3: Cross multiply
    10,733.97x = 14,813.78 × 5,955.41
  4. Step 4: Simplify right side
    10,733.97x = 88,222,029.70
  5. Step 5: Solve for x
    x = 88,222,029.70/10,733.97
  6. Step 6: Final answer
    x = 8,218.96

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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.