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Finding the Fourth Proportional to 27,652, 41,478 and 9,184

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Solution

The fourth proportional to 27,652, 41,478 and 9,184 is: 13,776

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652 : 41,478 = 9,184 : x
  2. Step 2: Convert to fraction form
    27,652/41,478 = 9,184/x
  3. Step 3: Cross multiply
    27,652x = 41,478 × 9,184
  4. Step 4: Simplify right side
    27,652x = 380,933,952
  5. Step 5: Solve for x
    x = 380,933,952/27,652
  6. Step 6: Final answer
    x = 13,776

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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.