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Finding the Fourth Proportional to 11,182.56, 16,747.56 and 6,568.80

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Solution

The fourth proportional to 11,182.56, 16,747.56 and 6,568.80 is: 9,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.56 : 16,747.56 = 6,568.80 : x
  2. Step 2: Convert to fraction form
    11,182.56/16,747.56 = 6,568.80/x
  3. Step 3: Cross multiply
    11,182.56x = 16,747.56 × 6,568.80
  4. Step 4: Simplify right side
    11,182.56x = 110,011,372.13
  5. Step 5: Solve for x
    x = 110,011,372.13/11,182.56
  6. Step 6: Final answer
    x = 9,837.76

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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.