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Finding the Fourth Proportional to 28,318, 42,496.50 and 9,850

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Solution

The fourth proportional to 28,318, 42,496.50 and 9,850 is: 14,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,318 : 42,496.50 = 9,850 : x
  2. Step 2: Convert to fraction form
    28,318/42,496.50 = 9,850/x
  3. Step 3: Cross multiply
    28,318x = 42,496.50 × 9,850
  4. Step 4: Simplify right side
    28,318x = 418,590,525
  5. Step 5: Solve for x
    x = 418,590,525/28,318
  6. Step 6: Final answer
    x = 14,781.78

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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.