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Finding the Fourth Proportional to 25,164, 37,746 and 8,748

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Solution

The fourth proportional to 25,164, 37,746 and 8,748 is: 13,122

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,164 : 37,746 = 8,748 : x
  2. Step 2: Convert to fraction form
    25,164/37,746 = 8,748/x
  3. Step 3: Cross multiply
    25,164x = 37,746 × 8,748
  4. Step 4: Simplify right side
    25,164x = 330,202,008
  5. Step 5: Solve for x
    x = 330,202,008/25,164
  6. Step 6: Final answer
    x = 13,122

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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.