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Finding the Fourth Proportional to 11,956.51, 17,944.13 and 8,284.51

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Solution

The fourth proportional to 11,956.51, 17,944.13 and 8,284.51 is: 12,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.51 : 17,944.13 = 8,284.51 : x
  2. Step 2: Convert to fraction form
    11,956.51/17,944.13 = 8,284.51/x
  3. Step 3: Cross multiply
    11,956.51x = 17,944.13 × 8,284.51
  4. Step 4: Simplify right side
    11,956.51x = 148,658,283.00
  5. Step 5: Solve for x
    x = 148,658,283.00/11,956.51
  6. Step 6: Final answer
    x = 12,433.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.