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Finding the Fourth Proportional to 8,282.10, 12,425.13 and 2,438.70

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Solution

The fourth proportional to 8,282.10, 12,425.13 and 2,438.70 is: 3,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.10 : 12,425.13 = 2,438.70 : x
  2. Step 2: Convert to fraction form
    8,282.10/12,425.13 = 2,438.70/x
  3. Step 3: Cross multiply
    8,282.10x = 12,425.13 × 2,438.70
  4. Step 4: Simplify right side
    8,282.10x = 30,301,164.53
  5. Step 5: Solve for x
    x = 30,301,164.53/8,282.10
  6. Step 6: Final answer
    x = 3,658.63

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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.