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Finding the Fourth Proportional to 13,096.80, 18,073.24 and 7,354.10

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Solution

The fourth proportional to 13,096.80, 18,073.24 and 7,354.10 is: 10,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.80 : 18,073.24 = 7,354.10 : x
  2. Step 2: Convert to fraction form
    13,096.80/18,073.24 = 7,354.10/x
  3. Step 3: Cross multiply
    13,096.80x = 18,073.24 × 7,354.10
  4. Step 4: Simplify right side
    13,096.80x = 132,912,414.28
  5. Step 5: Solve for x
    x = 132,912,414.28/13,096.80
  6. Step 6: Final answer
    x = 10,148.46

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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.