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Finding the Fourth Proportional to 25,036, 37,554 and 6,568

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Solution

The fourth proportional to 25,036, 37,554 and 6,568 is: 9,852

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,036 : 37,554 = 6,568 : x
  2. Step 2: Convert to fraction form
    25,036/37,554 = 6,568/x
  3. Step 3: Cross multiply
    25,036x = 37,554 × 6,568
  4. Step 4: Simplify right side
    25,036x = 246,654,672
  5. Step 5: Solve for x
    x = 246,654,672/25,036
  6. Step 6: Final answer
    x = 9,852

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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.