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Finding the Fourth Proportional to 8,114.94, 12,171.50 and 2,272.01

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Solution

The fourth proportional to 8,114.94, 12,171.50 and 2,272.01 is: 3,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.94 : 12,171.50 = 2,272.01 : x
  2. Step 2: Convert to fraction form
    8,114.94/12,171.50 = 2,272.01/x
  3. Step 3: Cross multiply
    8,114.94x = 12,171.50 × 2,272.01
  4. Step 4: Simplify right side
    8,114.94x = 27,653,706.02
  5. Step 5: Solve for x
    x = 27,653,706.02/8,114.94
  6. Step 6: Final answer
    x = 3,407.75

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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.