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Finding the Fourth Proportional to 25,012, 37,518.36 and 6,544

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Solution

The fourth proportional to 25,012, 37,518.36 and 6,544 is: 9,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,012 : 37,518.36 = 6,544 : x
  2. Step 2: Convert to fraction form
    25,012/37,518.36 = 6,544/x
  3. Step 3: Cross multiply
    25,012x = 37,518.36 × 6,544
  4. Step 4: Simplify right side
    25,012x = 245,520,147.84
  5. Step 5: Solve for x
    x = 245,520,147.84/25,012
  6. Step 6: Final answer
    x = 9,816.09

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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.