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Finding the Fourth Proportional to 8,397, 12,595.50 and 2,241

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Solution

The fourth proportional to 8,397, 12,595.50 and 2,241 is: 3,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397 : 12,595.50 = 2,241 : x
  2. Step 2: Convert to fraction form
    8,397/12,595.50 = 2,241/x
  3. Step 3: Cross multiply
    8,397x = 12,595.50 × 2,241
  4. Step 4: Simplify right side
    8,397x = 28,226,515.50
  5. Step 5: Solve for x
    x = 28,226,515.50/8,397
  6. Step 6: Final answer
    x = 3,361.50

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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.