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Finding the Fourth Proportional to 12,027.50, 16,597.95 and 6,649.94

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Solution

The fourth proportional to 12,027.50, 16,597.95 and 6,649.94 is: 9,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.50 : 16,597.95 = 6,649.94 : x
  2. Step 2: Convert to fraction form
    12,027.50/16,597.95 = 6,649.94/x
  3. Step 3: Cross multiply
    12,027.50x = 16,597.95 × 6,649.94
  4. Step 4: Simplify right side
    12,027.50x = 110,375,371.62
  5. Step 5: Solve for x
    x = 110,375,371.62/12,027.50
  6. Step 6: Final answer
    x = 9,176.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.