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Finding the Fourth Proportional to 13,947, 20,923.74 and 4,713

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Solution

The fourth proportional to 13,947, 20,923.74 and 4,713 is: 7,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947 : 20,923.74 = 4,713 : x
  2. Step 2: Convert to fraction form
    13,947/20,923.74 = 4,713/x
  3. Step 3: Cross multiply
    13,947x = 20,923.74 × 4,713
  4. Step 4: Simplify right side
    13,947x = 98,613,586.62
  5. Step 5: Solve for x
    x = 98,613,586.62/13,947
  6. Step 6: Final answer
    x = 7,070.59

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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.