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Finding the Fourth Proportional to 25,767, 38,650.52 and 6,311

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Solution

The fourth proportional to 25,767, 38,650.52 and 6,311 is: 9,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,767 : 38,650.52 = 6,311 : x
  2. Step 2: Convert to fraction form
    25,767/38,650.52 = 6,311/x
  3. Step 3: Cross multiply
    25,767x = 38,650.52 × 6,311
  4. Step 4: Simplify right side
    25,767x = 243,923,431.72
  5. Step 5: Solve for x
    x = 243,923,431.72/25,767
  6. Step 6: Final answer
    x = 9,466.50

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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.