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Finding the Fourth Proportional to 6,416.69, 9,625.23 and 2,859.17

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Solution

The fourth proportional to 6,416.69, 9,625.23 and 2,859.17 is: 4,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.69 : 9,625.23 = 2,859.17 : x
  2. Step 2: Convert to fraction form
    6,416.69/9,625.23 = 2,859.17/x
  3. Step 3: Cross multiply
    6,416.69x = 9,625.23 × 2,859.17
  4. Step 4: Simplify right side
    6,416.69x = 27,520,120.73
  5. Step 5: Solve for x
    x = 27,520,120.73/6,416.69
  6. Step 6: Final answer
    x = 4,288.84

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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.