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Finding the Fourth Proportional to 13,796.96, 20,696.48 and 9,457.44

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Solution

The fourth proportional to 13,796.96, 20,696.48 and 9,457.44 is: 14,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.96 : 20,696.48 = 9,457.44 : x
  2. Step 2: Convert to fraction form
    13,796.96/20,696.48 = 9,457.44/x
  3. Step 3: Cross multiply
    13,796.96x = 20,696.48 × 9,457.44
  4. Step 4: Simplify right side
    13,796.96x = 195,735,717.81
  5. Step 5: Solve for x
    x = 195,735,717.81/13,796.96
  6. Step 6: Final answer
    x = 14,186.87

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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.