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Finding the Fourth Proportional to 25,013, 37,519.88 and 6,545

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Solution

The fourth proportional to 25,013, 37,519.88 and 6,545 is: 9,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,013 : 37,519.88 = 6,545 : x
  2. Step 2: Convert to fraction form
    25,013/37,519.88 = 6,545/x
  3. Step 3: Cross multiply
    25,013x = 37,519.88 × 6,545
  4. Step 4: Simplify right side
    25,013x = 245,567,614.60
  5. Step 5: Solve for x
    x = 245,567,614.60/25,013
  6. Step 6: Final answer
    x = 9,817.60

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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.