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Finding the Fourth Proportional to 10,196.54, 15,294.26 and 3,270.50

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Solution

The fourth proportional to 10,196.54, 15,294.26 and 3,270.50 is: 4,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.54 : 15,294.26 = 3,270.50 : x
  2. Step 2: Convert to fraction form
    10,196.54/15,294.26 = 3,270.50/x
  3. Step 3: Cross multiply
    10,196.54x = 15,294.26 × 3,270.50
  4. Step 4: Simplify right side
    10,196.54x = 50,019,877.33
  5. Step 5: Solve for x
    x = 50,019,877.33/10,196.54
  6. Step 6: Final answer
    x = 4,905.57

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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.