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Finding the Fourth Proportional to 13,794.78, 20,673.39 and 7,207.32

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Solution

The fourth proportional to 13,794.78, 20,673.39 and 7,207.32 is: 10,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.78 : 20,673.39 = 7,207.32 : x
  2. Step 2: Convert to fraction form
    13,794.78/20,673.39 = 7,207.32/x
  3. Step 3: Cross multiply
    13,794.78x = 20,673.39 × 7,207.32
  4. Step 4: Simplify right side
    13,794.78x = 148,999,737.21
  5. Step 5: Solve for x
    x = 148,999,737.21/13,794.78
  6. Step 6: Final answer
    x = 10,801.17

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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.