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Finding the Fourth Proportional to 12,649.50, 18,974.25 and 3,415.50

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Solution

The fourth proportional to 12,649.50, 18,974.25 and 3,415.50 is: 5,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.50 : 18,974.25 = 3,415.50 : x
  2. Step 2: Convert to fraction form
    12,649.50/18,974.25 = 3,415.50/x
  3. Step 3: Cross multiply
    12,649.50x = 18,974.25 × 3,415.50
  4. Step 4: Simplify right side
    12,649.50x = 64,806,550.88
  5. Step 5: Solve for x
    x = 64,806,550.88/12,649.50
  6. Step 6: Final answer
    x = 5,123.25

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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.