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Finding the Fourth Proportional to 25,027, 37,540.50 and 6,559

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Solution

The fourth proportional to 25,027, 37,540.50 and 6,559 is: 9,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,027 : 37,540.50 = 6,559 : x
  2. Step 2: Convert to fraction form
    25,027/37,540.50 = 6,559/x
  3. Step 3: Cross multiply
    25,027x = 37,540.50 × 6,559
  4. Step 4: Simplify right side
    25,027x = 246,228,139.50
  5. Step 5: Solve for x
    x = 246,228,139.50/25,027
  6. Step 6: Final answer
    x = 9,838.50

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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.