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Finding the Fourth Proportional to 12,773.50, 19,160.25 and 3,539.50

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Solution

The fourth proportional to 12,773.50, 19,160.25 and 3,539.50 is: 5,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.50 : 19,160.25 = 3,539.50 : x
  2. Step 2: Convert to fraction form
    12,773.50/19,160.25 = 3,539.50/x
  3. Step 3: Cross multiply
    12,773.50x = 19,160.25 × 3,539.50
  4. Step 4: Simplify right side
    12,773.50x = 67,817,704.88
  5. Step 5: Solve for x
    x = 67,817,704.88/12,773.50
  6. Step 6: Final answer
    x = 5,309.25

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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.