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Finding the Fourth Proportional to 12,596.32, 18,865.68 and 6,027.12

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Solution

The fourth proportional to 12,596.32, 18,865.68 and 6,027.12 is: 9,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.32 : 18,865.68 = 6,027.12 : x
  2. Step 2: Convert to fraction form
    12,596.32/18,865.68 = 6,027.12/x
  3. Step 3: Cross multiply
    12,596.32x = 18,865.68 × 6,027.12
  4. Step 4: Simplify right side
    12,596.32x = 113,705,717.24
  5. Step 5: Solve for x
    x = 113,705,717.24/12,596.32
  6. Step 6: Final answer
    x = 9,026.90

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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.