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Finding the Fourth Proportional to 12,172.42, 16,797.96 and 6,867.25

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Solution

The fourth proportional to 12,172.42, 16,797.96 and 6,867.25 is: 9,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.42 : 16,797.96 = 6,867.25 : x
  2. Step 2: Convert to fraction form
    12,172.42/16,797.96 = 6,867.25/x
  3. Step 3: Cross multiply
    12,172.42x = 16,797.96 × 6,867.25
  4. Step 4: Simplify right side
    12,172.42x = 115,355,790.81
  5. Step 5: Solve for x
    x = 115,355,790.81/12,172.42
  6. Step 6: Final answer
    x = 9,476.82

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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.