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Finding the Fourth Proportional to 13,802.92, 20,703.95 and 3,942.21

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Solution

The fourth proportional to 13,802.92, 20,703.95 and 3,942.21 is: 5,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.92 : 20,703.95 = 3,942.21 : x
  2. Step 2: Convert to fraction form
    13,802.92/20,703.95 = 3,942.21/x
  3. Step 3: Cross multiply
    13,802.92x = 20,703.95 × 3,942.21
  4. Step 4: Simplify right side
    13,802.92x = 81,619,318.73
  5. Step 5: Solve for x
    x = 81,619,318.73/13,802.92
  6. Step 6: Final answer
    x = 5,913.19

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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.