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Finding the Fourth Proportional to 25,005, 37,507.86 and 6,537

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Solution

The fourth proportional to 25,005, 37,507.86 and 6,537 is: 9,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,005 : 37,507.86 = 6,537 : x
  2. Step 2: Convert to fraction form
    25,005/37,507.86 = 6,537/x
  3. Step 3: Cross multiply
    25,005x = 37,507.86 × 6,537
  4. Step 4: Simplify right side
    25,005x = 245,188,880.82
  5. Step 5: Solve for x
    x = 245,188,880.82/25,005
  6. Step 6: Final answer
    x = 9,805.59

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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.