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Finding the Fourth Proportional to 4,570.97, 6,857.46 and 1,649.25

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Solution

The fourth proportional to 4,570.97, 6,857.46 and 1,649.25 is: 2,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.97 : 6,857.46 = 1,649.25 : x
  2. Step 2: Convert to fraction form
    4,570.97/6,857.46 = 1,649.25/x
  3. Step 3: Cross multiply
    4,570.97x = 6,857.46 × 1,649.25
  4. Step 4: Simplify right side
    4,570.97x = 11,309,665.91
  5. Step 5: Solve for x
    x = 11,309,665.91/4,570.97
  6. Step 6: Final answer
    x = 2,474.24

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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.