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Finding the Fourth Proportional to 4,294.97, 6,440.41 and 1,663.70

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Solution

The fourth proportional to 4,294.97, 6,440.41 and 1,663.70 is: 2,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.97 : 6,440.41 = 1,663.70 : x
  2. Step 2: Convert to fraction form
    4,294.97/6,440.41 = 1,663.70/x
  3. Step 3: Cross multiply
    4,294.97x = 6,440.41 × 1,663.70
  4. Step 4: Simplify right side
    4,294.97x = 10,714,910.12
  5. Step 5: Solve for x
    x = 10,714,910.12/4,294.97
  6. Step 6: Final answer
    x = 2,494.76

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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.