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Finding the Fourth Proportional to 11,774.16, 17,660.64 and 4,375.76

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Solution

The fourth proportional to 11,774.16, 17,660.64 and 4,375.76 is: 6,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.16 : 17,660.64 = 4,375.76 : x
  2. Step 2: Convert to fraction form
    11,774.16/17,660.64 = 4,375.76/x
  3. Step 3: Cross multiply
    11,774.16x = 17,660.64 × 4,375.76
  4. Step 4: Simplify right side
    11,774.16x = 77,278,722.09
  5. Step 5: Solve for x
    x = 77,278,722.09/11,774.16
  6. Step 6: Final answer
    x = 6,563.42

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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.