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Finding the Fourth Proportional to 11,651.38, 16,074.39 and 7,674.46

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Solution

The fourth proportional to 11,651.38, 16,074.39 and 7,674.46 is: 10,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.38 : 16,074.39 = 7,674.46 : x
  2. Step 2: Convert to fraction form
    11,651.38/16,074.39 = 7,674.46/x
  3. Step 3: Cross multiply
    11,651.38x = 16,074.39 × 7,674.46
  4. Step 4: Simplify right side
    11,651.38x = 123,362,263.08
  5. Step 5: Solve for x
    x = 123,362,263.08/11,651.38
  6. Step 6: Final answer
    x = 10,587.78

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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.