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Finding the Fourth Proportional to 13,756.52, 18,992.26 and 9,049

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Solution

The fourth proportional to 13,756.52, 18,992.26 and 9,049 is: 12,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.52 : 18,992.26 = 9,049 : x
  2. Step 2: Convert to fraction form
    13,756.52/18,992.26 = 9,049/x
  3. Step 3: Cross multiply
    13,756.52x = 18,992.26 × 9,049
  4. Step 4: Simplify right side
    13,756.52x = 171,860,960.74
  5. Step 5: Solve for x
    x = 171,860,960.74/13,756.52
  6. Step 6: Final answer
    x = 12,493.05

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1.5x scale

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.