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Finding the Fourth Proportional to 10,196.90, 15,293.67 and 3,270.50

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Solution

The fourth proportional to 10,196.90, 15,293.67 and 3,270.50 is: 4,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.90 : 15,293.67 = 3,270.50 : x
  2. Step 2: Convert to fraction form
    10,196.90/15,293.67 = 3,270.50/x
  3. Step 3: Cross multiply
    10,196.90x = 15,293.67 × 3,270.50
  4. Step 4: Simplify right side
    10,196.90x = 50,017,947.74
  5. Step 5: Solve for x
    x = 50,017,947.74/10,196.90
  6. Step 6: Final answer
    x = 4,905.21

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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.