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Finding the Fourth Proportional to 10,755.63, 14,836.33 and 6,769.82

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Solution

The fourth proportional to 10,755.63, 14,836.33 and 6,769.82 is: 9,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.63 : 14,836.33 = 6,769.82 : x
  2. Step 2: Convert to fraction form
    10,755.63/14,836.33 = 6,769.82/x
  3. Step 3: Cross multiply
    10,755.63x = 14,836.33 × 6,769.82
  4. Step 4: Simplify right side
    10,755.63x = 100,439,229.55
  5. Step 5: Solve for x
    x = 100,439,229.55/10,755.63
  6. Step 6: Final answer
    x = 9,338.30

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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.