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Finding the Fourth Proportional to 12,163.49, 16,785.60 and 6,574.49

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Solution

The fourth proportional to 12,163.49, 16,785.60 and 6,574.49 is: 9,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.49 : 16,785.60 = 6,574.49 : x
  2. Step 2: Convert to fraction form
    12,163.49/16,785.60 = 6,574.49/x
  3. Step 3: Cross multiply
    12,163.49x = 16,785.60 × 6,574.49
  4. Step 4: Simplify right side
    12,163.49x = 110,356,675.42
  5. Step 5: Solve for x
    x = 110,356,675.42/12,163.49
  6. Step 6: Final answer
    x = 9,072.78

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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.