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Finding the Fourth Proportional to 8,051.96, 12,074.28 and 2,503.64

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Solution

The fourth proportional to 8,051.96, 12,074.28 and 2,503.64 is: 3,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.96 : 12,074.28 = 2,503.64 : x
  2. Step 2: Convert to fraction form
    8,051.96/12,074.28 = 2,503.64/x
  3. Step 3: Cross multiply
    8,051.96x = 12,074.28 × 2,503.64
  4. Step 4: Simplify right side
    8,051.96x = 30,229,650.38
  5. Step 5: Solve for x
    x = 30,229,650.38/8,051.96
  6. Step 6: Final answer
    x = 3,754.32

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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.