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Finding the Fourth Proportional to 15,682, 23,524.62 and 6,325.24

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Solution

The fourth proportional to 15,682, 23,524.62 and 6,325.24 is: 9,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682 : 23,524.62 = 6,325.24 : x
  2. Step 2: Convert to fraction form
    15,682/23,524.62 = 6,325.24/x
  3. Step 3: Cross multiply
    15,682x = 23,524.62 × 6,325.24
  4. Step 4: Simplify right side
    15,682x = 148,798,867.41
  5. Step 5: Solve for x
    x = 148,798,867.41/15,682
  6. Step 6: Final answer
    x = 9,488.51

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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.