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Finding the Fourth Proportional to 7,714.72, 11,571.17 and 2,015.30

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Solution

The fourth proportional to 7,714.72, 11,571.17 and 2,015.30 is: 3,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.72 : 11,571.17 = 2,015.30 : x
  2. Step 2: Convert to fraction form
    7,714.72/11,571.17 = 2,015.30/x
  3. Step 3: Cross multiply
    7,714.72x = 11,571.17 × 2,015.30
  4. Step 4: Simplify right side
    7,714.72x = 23,319,378.90
  5. Step 5: Solve for x
    x = 23,319,378.90/7,714.72
  6. Step 6: Final answer
    x = 3,022.71

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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.