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Finding the Fourth Proportional to 12,236, 16,884.25 and 7,199.12

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Solution

The fourth proportional to 12,236, 16,884.25 and 7,199.12 is: 9,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236 : 16,884.25 = 7,199.12 : x
  2. Step 2: Convert to fraction form
    12,236/16,884.25 = 7,199.12/x
  3. Step 3: Cross multiply
    12,236x = 16,884.25 × 7,199.12
  4. Step 4: Simplify right side
    12,236x = 121,551,621.44
  5. Step 5: Solve for x
    x = 121,551,621.44/12,236
  6. Step 6: Final answer
    x = 9,933.93

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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.