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Finding the Fourth Proportional to 8,051.44, 12,078.52 and 2,503.72

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Solution

The fourth proportional to 8,051.44, 12,078.52 and 2,503.72 is: 3,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.44 : 12,078.52 = 2,503.72 : x
  2. Step 2: Convert to fraction form
    8,051.44/12,078.52 = 2,503.72/x
  3. Step 3: Cross multiply
    8,051.44x = 12,078.52 × 2,503.72
  4. Step 4: Simplify right side
    8,051.44x = 30,241,232.09
  5. Step 5: Solve for x
    x = 30,241,232.09/8,051.44
  6. Step 6: Final answer
    x = 3,756.00

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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.