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Finding the Fourth Proportional to 10,197.90, 15,295.17 and 3,271.50

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Solution

The fourth proportional to 10,197.90, 15,295.17 and 3,271.50 is: 4,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.90 : 15,295.17 = 3,271.50 : x
  2. Step 2: Convert to fraction form
    10,197.90/15,295.17 = 3,271.50/x
  3. Step 3: Cross multiply
    10,197.90x = 15,295.17 × 3,271.50
  4. Step 4: Simplify right side
    10,197.90x = 50,038,148.66
  5. Step 5: Solve for x
    x = 50,038,148.66/10,197.90
  6. Step 6: Final answer
    x = 4,906.71

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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.