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Finding the Fourth Proportional to 11,991.12, 17,977.74 and 8,282.76

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Solution

The fourth proportional to 11,991.12, 17,977.74 and 8,282.76 is: 12,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.12 : 17,977.74 = 8,282.76 : x
  2. Step 2: Convert to fraction form
    11,991.12/17,977.74 = 8,282.76/x
  3. Step 3: Cross multiply
    11,991.12x = 17,977.74 × 8,282.76
  4. Step 4: Simplify right side
    11,991.12x = 148,905,305.76
  5. Step 5: Solve for x
    x = 148,905,305.76/11,991.12
  6. Step 6: Final answer
    x = 12,417.96

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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.