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Finding the Fourth Proportional to 8,170.87, 12,254.68 and 2,246.22

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Solution

The fourth proportional to 8,170.87, 12,254.68 and 2,246.22 is: 3,368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.87 : 12,254.68 = 2,246.22 : x
  2. Step 2: Convert to fraction form
    8,170.87/12,254.68 = 2,246.22/x
  3. Step 3: Cross multiply
    8,170.87x = 12,254.68 × 2,246.22
  4. Step 4: Simplify right side
    8,170.87x = 27,526,750.90
  5. Step 5: Solve for x
    x = 27,526,750.90/8,170.87
  6. Step 6: Final answer
    x = 3,368.89

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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.