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Finding the Fourth Proportional to 13,704.50, 20,560 and 4,470.50

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Solution

The fourth proportional to 13,704.50, 20,560 and 4,470.50 is: 6,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.50 : 20,560 = 4,470.50 : x
  2. Step 2: Convert to fraction form
    13,704.50/20,560 = 4,470.50/x
  3. Step 3: Cross multiply
    13,704.50x = 20,560 × 4,470.50
  4. Step 4: Simplify right side
    13,704.50x = 91,913,480
  5. Step 5: Solve for x
    x = 91,913,480/13,704.50
  6. Step 6: Final answer
    x = 6,706.81

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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.