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Finding the Fourth Proportional to 25,093, 37,641.68 and 6,625

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Solution

The fourth proportional to 25,093, 37,641.68 and 6,625 is: 9,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,093 : 37,641.68 = 6,625 : x
  2. Step 2: Convert to fraction form
    25,093/37,641.68 = 6,625/x
  3. Step 3: Cross multiply
    25,093x = 37,641.68 × 6,625
  4. Step 4: Simplify right side
    25,093x = 249,376,130
  5. Step 5: Solve for x
    x = 249,376,130/25,093
  6. Step 6: Final answer
    x = 9,938.08

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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.