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Finding the Fourth Proportional to 25,006, 37,509.36 and 6,538

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Solution

The fourth proportional to 25,006, 37,509.36 and 6,538 is: 9,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,006 : 37,509.36 = 6,538 : x
  2. Step 2: Convert to fraction form
    25,006/37,509.36 = 6,538/x
  3. Step 3: Cross multiply
    25,006x = 37,509.36 × 6,538
  4. Step 4: Simplify right side
    25,006x = 245,236,195.68
  5. Step 5: Solve for x
    x = 245,236,195.68/25,006
  6. Step 6: Final answer
    x = 9,807.09

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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.