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Finding the Fourth Proportional to 12,172.16, 16,793.08 and 8,993.12

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Solution

The fourth proportional to 12,172.16, 16,793.08 and 8,993.12 is: 12,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.16 : 16,793.08 = 8,993.12 : x
  2. Step 2: Convert to fraction form
    12,172.16/16,793.08 = 8,993.12/x
  3. Step 3: Cross multiply
    12,172.16x = 16,793.08 × 8,993.12
  4. Step 4: Simplify right side
    12,172.16x = 151,022,077.16
  5. Step 5: Solve for x
    x = 151,022,077.16/12,172.16
  6. Step 6: Final answer
    x = 12,407.17

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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.