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Finding the Fourth Proportional to 14,755.90, 20,367.42 and 9,652.16

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Solution

The fourth proportional to 14,755.90, 20,367.42 and 9,652.16 is: 13,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,755.90 : 20,367.42 = 9,652.16 : x
  2. Step 2: Convert to fraction form
    14,755.90/20,367.42 = 9,652.16/x
  3. Step 3: Cross multiply
    14,755.90x = 20,367.42 × 9,652.16
  4. Step 4: Simplify right side
    14,755.90x = 196,589,596.63
  5. Step 5: Solve for x
    x = 196,589,596.63/14,755.90
  6. Step 6: Final answer
    x = 13,322.78

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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.