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Finding the Fourth Proportional to 13,695.96, 18,900.43 and 7,408.34

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Solution

The fourth proportional to 13,695.96, 18,900.43 and 7,408.34 is: 10,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.96 : 18,900.43 = 7,408.34 : x
  2. Step 2: Convert to fraction form
    13,695.96/18,900.43 = 7,408.34/x
  3. Step 3: Cross multiply
    13,695.96x = 18,900.43 × 7,408.34
  4. Step 4: Simplify right side
    13,695.96x = 140,020,769.44
  5. Step 5: Solve for x
    x = 140,020,769.44/13,695.96
  6. Step 6: Final answer
    x = 10,223.51

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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.