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Finding the Fourth Proportional to 4,182.94, 6,272.13 and 1,714.97

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Solution

The fourth proportional to 4,182.94, 6,272.13 and 1,714.97 is: 2,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.94 : 6,272.13 = 1,714.97 : x
  2. Step 2: Convert to fraction form
    4,182.94/6,272.13 = 1,714.97/x
  3. Step 3: Cross multiply
    4,182.94x = 6,272.13 × 1,714.97
  4. Step 4: Simplify right side
    4,182.94x = 10,756,536.90
  5. Step 5: Solve for x
    x = 10,756,536.90/4,182.94
  6. Step 6: Final answer
    x = 2,571.52

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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.