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Finding the Fourth Proportional to 14,791.10, 20,433.98 and 9,698.72

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Solution

The fourth proportional to 14,791.10, 20,433.98 and 9,698.72 is: 13,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791.10 : 20,433.98 = 9,698.72 : x
  2. Step 2: Convert to fraction form
    14,791.10/20,433.98 = 9,698.72/x
  3. Step 3: Cross multiply
    14,791.10x = 20,433.98 × 9,698.72
  4. Step 4: Simplify right side
    14,791.10x = 198,183,450.51
  5. Step 5: Solve for x
    x = 198,183,450.51/14,791.10
  6. Step 6: Final answer
    x = 13,398.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.