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Finding the Fourth Proportional to 13,729.87, 18,948.72 and 7,682.31

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Solution

The fourth proportional to 13,729.87, 18,948.72 and 7,682.31 is: 10,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.87 : 18,948.72 = 7,682.31 : x
  2. Step 2: Convert to fraction form
    13,729.87/18,948.72 = 7,682.31/x
  3. Step 3: Cross multiply
    13,729.87x = 18,948.72 × 7,682.31
  4. Step 4: Simplify right side
    13,729.87x = 145,569,941.14
  5. Step 5: Solve for x
    x = 145,569,941.14/13,729.87
  6. Step 6: Final answer
    x = 10,602.43

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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.