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Finding the Fourth Proportional to 13,894.74, 20,838.87 and 6,504.30

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Solution

The fourth proportional to 13,894.74, 20,838.87 and 6,504.30 is: 9,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.74 : 20,838.87 = 6,504.30 : x
  2. Step 2: Convert to fraction form
    13,894.74/20,838.87 = 6,504.30/x
  3. Step 3: Cross multiply
    13,894.74x = 20,838.87 × 6,504.30
  4. Step 4: Simplify right side
    13,894.74x = 135,542,262.14
  5. Step 5: Solve for x
    x = 135,542,262.14/13,894.74
  6. Step 6: Final answer
    x = 9,754.93

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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.