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Finding the Fourth Proportional to 8,263.81, 12,395.72 and 2,422.09

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Solution

The fourth proportional to 8,263.81, 12,395.72 and 2,422.09 is: 3,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.81 : 12,395.72 = 2,422.09 : x
  2. Step 2: Convert to fraction form
    8,263.81/12,395.72 = 2,422.09/x
  3. Step 3: Cross multiply
    8,263.81x = 12,395.72 × 2,422.09
  4. Step 4: Simplify right side
    8,263.81x = 30,023,549.45
  5. Step 5: Solve for x
    x = 30,023,549.45/8,263.81
  6. Step 6: Final answer
    x = 3,633.14

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Similar ratio
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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.