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Finding the Fourth Proportional to 14,057.10, 21,078.36 and 7,029.54

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Solution

The fourth proportional to 14,057.10, 21,078.36 and 7,029.54 is: 10,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.10 : 21,078.36 = 7,029.54 : x
  2. Step 2: Convert to fraction form
    14,057.10/21,078.36 = 7,029.54/x
  3. Step 3: Cross multiply
    14,057.10x = 21,078.36 × 7,029.54
  4. Step 4: Simplify right side
    14,057.10x = 148,171,174.75
  5. Step 5: Solve for x
    x = 148,171,174.75/14,057.10
  6. Step 6: Final answer
    x = 10,540.66

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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.