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Finding the Fourth Proportional to 13,813.62, 20,713.14 and 4,927.73

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Solution

The fourth proportional to 13,813.62, 20,713.14 and 4,927.73 is: 7,388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.62 : 20,713.14 = 4,927.73 : x
  2. Step 2: Convert to fraction form
    13,813.62/20,713.14 = 4,927.73/x
  3. Step 3: Cross multiply
    13,813.62x = 20,713.14 × 4,927.73
  4. Step 4: Simplify right side
    13,813.62x = 102,068,657.81
  5. Step 5: Solve for x
    x = 102,068,657.81/13,813.62
  6. Step 6: Final answer
    x = 7,388.99

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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.