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Finding the Fourth Proportional to 11,714.75, 17,571.67 and 5,141

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Solution

The fourth proportional to 11,714.75, 17,571.67 and 5,141 is: 7,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.75 : 17,571.67 = 5,141 : x
  2. Step 2: Convert to fraction form
    11,714.75/17,571.67 = 5,141/x
  3. Step 3: Cross multiply
    11,714.75x = 17,571.67 × 5,141
  4. Step 4: Simplify right side
    11,714.75x = 90,335,955.47
  5. Step 5: Solve for x
    x = 90,335,955.47/11,714.75
  6. Step 6: Final answer
    x = 7,711.30

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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.