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Finding the Fourth Proportional to 13,882.95, 20,791.05 and 7,941.82

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Solution

The fourth proportional to 13,882.95, 20,791.05 and 7,941.82 is: 11,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.95 : 20,791.05 = 7,941.82 : x
  2. Step 2: Convert to fraction form
    13,882.95/20,791.05 = 7,941.82/x
  3. Step 3: Cross multiply
    13,882.95x = 20,791.05 × 7,941.82
  4. Step 4: Simplify right side
    13,882.95x = 165,118,776.71
  5. Step 5: Solve for x
    x = 165,118,776.71/13,882.95
  6. Step 6: Final answer
    x = 11,893.64

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1.5x scale

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.