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Finding the Fourth Proportional to 11,774.56, 17,661.84 and 4,378.86

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Solution

The fourth proportional to 11,774.56, 17,661.84 and 4,378.86 is: 6,568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.56 : 17,661.84 = 4,378.86 : x
  2. Step 2: Convert to fraction form
    11,774.56/17,661.84 = 4,378.86/x
  3. Step 3: Cross multiply
    11,774.56x = 17,661.84 × 4,378.86
  4. Step 4: Simplify right side
    11,774.56x = 77,338,724.70
  5. Step 5: Solve for x
    x = 77,338,724.70/11,774.56
  6. Step 6: Final answer
    x = 6,568.29

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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.