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Finding the Fourth Proportional to 10,270.50, 15,406.97 and 3,345

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Solution

The fourth proportional to 10,270.50, 15,406.97 and 3,345 is: 5,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.50 : 15,406.97 = 3,345 : x
  2. Step 2: Convert to fraction form
    10,270.50/15,406.97 = 3,345/x
  3. Step 3: Cross multiply
    10,270.50x = 15,406.97 × 3,345
  4. Step 4: Simplify right side
    10,270.50x = 51,536,297.93
  5. Step 5: Solve for x
    x = 51,536,297.93/10,270.50
  6. Step 6: Final answer
    x = 5,017.90

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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.