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Finding the Fourth Proportional to 8,171.11, 12,254.64 and 2,327.77

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Solution

The fourth proportional to 8,171.11, 12,254.64 and 2,327.77 is: 3,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.11 : 12,254.64 = 2,327.77 : x
  2. Step 2: Convert to fraction form
    8,171.11/12,254.64 = 2,327.77/x
  3. Step 3: Cross multiply
    8,171.11x = 12,254.64 × 2,327.77
  4. Step 4: Simplify right side
    8,171.11x = 28,525,983.35
  5. Step 5: Solve for x
    x = 28,525,983.35/8,171.11
  6. Step 6: Final answer
    x = 3,491.08

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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.