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Finding the Fourth Proportional to 12,163.51, 16,785.66 and 6,574.51

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Solution

The fourth proportional to 12,163.51, 16,785.66 and 6,574.51 is: 9,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.51 : 16,785.66 = 6,574.51 : x
  2. Step 2: Convert to fraction form
    12,163.51/16,785.66 = 6,574.51/x
  3. Step 3: Cross multiply
    12,163.51x = 16,785.66 × 6,574.51
  4. Step 4: Simplify right side
    12,163.51x = 110,357,489.53
  5. Step 5: Solve for x
    x = 110,357,489.53/12,163.51
  6. Step 6: Final answer
    x = 9,072.83

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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.