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Finding the Fourth Proportional to 12,596.20, 18,852.77 and 6,965.21

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Solution

The fourth proportional to 12,596.20, 18,852.77 and 6,965.21 is: 10,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.20 : 18,852.77 = 6,965.21 : x
  2. Step 2: Convert to fraction form
    12,596.20/18,852.77 = 6,965.21/x
  3. Step 3: Cross multiply
    12,596.20x = 18,852.77 × 6,965.21
  4. Step 4: Simplify right side
    12,596.20x = 131,313,425.28
  5. Step 5: Solve for x
    x = 131,313,425.28/12,596.20
  6. Step 6: Final answer
    x = 10,424.85

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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.