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Finding the Fourth Proportional to 10,206, 15,308.94 and 3,280.52

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Solution

The fourth proportional to 10,206, 15,308.94 and 3,280.52 is: 4,920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 15,308.94 = 3,280.52 : x
  2. Step 2: Convert to fraction form
    10,206/15,308.94 = 3,280.52/x
  3. Step 3: Cross multiply
    10,206x = 15,308.94 × 3,280.52
  4. Step 4: Simplify right side
    10,206x = 50,221,283.85
  5. Step 5: Solve for x
    x = 50,221,283.85/10,206
  6. Step 6: Final answer
    x = 4,920.76

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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.