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Finding the Fourth Proportional to 10,291.50, 15,437.25 and 3,366

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Solution

The fourth proportional to 10,291.50, 15,437.25 and 3,366 is: 5,049

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.50 : 15,437.25 = 3,366 : x
  2. Step 2: Convert to fraction form
    10,291.50/15,437.25 = 3,366/x
  3. Step 3: Cross multiply
    10,291.50x = 15,437.25 × 3,366
  4. Step 4: Simplify right side
    10,291.50x = 51,961,783.50
  5. Step 5: Solve for x
    x = 51,961,783.50/10,291.50
  6. Step 6: Final answer
    x = 5,049

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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.