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Finding the Fourth Proportional to 13,184, 19,776 and 3,950

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Solution

The fourth proportional to 13,184, 19,776 and 3,950 is: 5,925

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184 : 19,776 = 3,950 : x
  2. Step 2: Convert to fraction form
    13,184/19,776 = 3,950/x
  3. Step 3: Cross multiply
    13,184x = 19,776 × 3,950
  4. Step 4: Simplify right side
    13,184x = 78,115,200
  5. Step 5: Solve for x
    x = 78,115,200/13,184
  6. Step 6: Final answer
    x = 5,925

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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.