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Finding the Fourth Proportional to 13,897.69, 20,794.24 and 9,745.81

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Solution

The fourth proportional to 13,897.69, 20,794.24 and 9,745.81 is: 14,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.69 : 20,794.24 = 9,745.81 : x
  2. Step 2: Convert to fraction form
    13,897.69/20,794.24 = 9,745.81/x
  3. Step 3: Cross multiply
    13,897.69x = 20,794.24 × 9,745.81
  4. Step 4: Simplify right side
    13,897.69x = 202,656,672.33
  5. Step 5: Solve for x
    x = 202,656,672.33/13,897.69
  6. Step 6: Final answer
    x = 14,582.04

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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.