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Finding the Fourth Proportional to 12,163.14, 16,785.12 and 6,574.14

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Solution

The fourth proportional to 12,163.14, 16,785.12 and 6,574.14 is: 9,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.14 : 16,785.12 = 6,574.14 : x
  2. Step 2: Convert to fraction form
    12,163.14/16,785.12 = 6,574.14/x
  3. Step 3: Cross multiply
    12,163.14x = 16,785.12 × 6,574.14
  4. Step 4: Simplify right side
    12,163.14x = 110,347,728.80
  5. Step 5: Solve for x
    x = 110,347,728.80/12,163.14
  6. Step 6: Final answer
    x = 9,072.31

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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.