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Finding the Fourth Proportional to 13,539, 18,685.44 and 7,950

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Solution

The fourth proportional to 13,539, 18,685.44 and 7,950 is: 10,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539 : 18,685.44 = 7,950 : x
  2. Step 2: Convert to fraction form
    13,539/18,685.44 = 7,950/x
  3. Step 3: Cross multiply
    13,539x = 18,685.44 × 7,950
  4. Step 4: Simplify right side
    13,539x = 148,549,248
  5. Step 5: Solve for x
    x = 148,549,248/13,539
  6. Step 6: Final answer
    x = 10,971.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.