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Finding the Fourth Proportional to 11,706, 17,560.49 and 4,315.62

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Solution

The fourth proportional to 11,706, 17,560.49 and 4,315.62 is: 6,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706 : 17,560.49 = 4,315.62 : x
  2. Step 2: Convert to fraction form
    11,706/17,560.49 = 4,315.62/x
  3. Step 3: Cross multiply
    11,706x = 17,560.49 × 4,315.62
  4. Step 4: Simplify right side
    11,706x = 75,784,380.28
  5. Step 5: Solve for x
    x = 75,784,380.28/11,706
  6. Step 6: Final answer
    x = 6,473.98

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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.