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Finding the Fourth Proportional to 8,171.98, 12,260.13 and 2,328.64

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Solution

The fourth proportional to 8,171.98, 12,260.13 and 2,328.64 is: 3,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.98 : 12,260.13 = 2,328.64 : x
  2. Step 2: Convert to fraction form
    8,171.98/12,260.13 = 2,328.64/x
  3. Step 3: Cross multiply
    8,171.98x = 12,260.13 × 2,328.64
  4. Step 4: Simplify right side
    8,171.98x = 28,549,429.12
  5. Step 5: Solve for x
    x = 28,549,429.12/8,171.98
  6. Step 6: Final answer
    x = 3,493.58

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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.