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Finding the Fourth Proportional to 25,114, 37,671 and 6,646

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Solution

The fourth proportional to 25,114, 37,671 and 6,646 is: 9,969

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114 : 37,671 = 6,646 : x
  2. Step 2: Convert to fraction form
    25,114/37,671 = 6,646/x
  3. Step 3: Cross multiply
    25,114x = 37,671 × 6,646
  4. Step 4: Simplify right side
    25,114x = 250,361,466
  5. Step 5: Solve for x
    x = 250,361,466/25,114
  6. Step 6: Final answer
    x = 9,969

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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.