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Finding the Fourth Proportional to 6,470.35, 9,705.99 and 1,726.49

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Solution

The fourth proportional to 6,470.35, 9,705.99 and 1,726.49 is: 2,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.35 : 9,705.99 = 1,726.49 : x
  2. Step 2: Convert to fraction form
    6,470.35/9,705.99 = 1,726.49/x
  3. Step 3: Cross multiply
    6,470.35x = 9,705.99 × 1,726.49
  4. Step 4: Simplify right side
    6,470.35x = 16,757,247.76
  5. Step 5: Solve for x
    x = 16,757,247.76/6,470.35
  6. Step 6: Final answer
    x = 2,589.85

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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.