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Finding the Fourth Proportional to 25,299, 37,948.50 and 6,831

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Solution

The fourth proportional to 25,299, 37,948.50 and 6,831 is: 10,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,299 : 37,948.50 = 6,831 : x
  2. Step 2: Convert to fraction form
    25,299/37,948.50 = 6,831/x
  3. Step 3: Cross multiply
    25,299x = 37,948.50 × 6,831
  4. Step 4: Simplify right side
    25,299x = 259,226,203.50
  5. Step 5: Solve for x
    x = 259,226,203.50/25,299
  6. Step 6: Final answer
    x = 10,246.50

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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.