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Finding the Fourth Proportional to 12,777.54, 19,171.05 and 5,755.42

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Solution

The fourth proportional to 12,777.54, 19,171.05 and 5,755.42 is: 8,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.54 : 19,171.05 = 5,755.42 : x
  2. Step 2: Convert to fraction form
    12,777.54/19,171.05 = 5,755.42/x
  3. Step 3: Cross multiply
    12,777.54x = 19,171.05 × 5,755.42
  4. Step 4: Simplify right side
    12,777.54x = 110,337,444.59
  5. Step 5: Solve for x
    x = 110,337,444.59/12,777.54
  6. Step 6: Final answer
    x = 8,635.27

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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.