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Finding the Fourth Proportional to 11,756.71, 17,625.82 and 8,047.70

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Solution

The fourth proportional to 11,756.71, 17,625.82 and 8,047.70 is: 12,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.71 : 17,625.82 = 8,047.70 : x
  2. Step 2: Convert to fraction form
    11,756.71/17,625.82 = 8,047.70/x
  3. Step 3: Cross multiply
    11,756.71x = 17,625.82 × 8,047.70
  4. Step 4: Simplify right side
    11,756.71x = 141,847,183.25
  5. Step 5: Solve for x
    x = 141,847,183.25/11,756.71
  6. Step 6: Final answer
    x = 12,065.22

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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.