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Finding the Fourth Proportional to 13,760.71, 18,989.85 and 7,473.09

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Solution

The fourth proportional to 13,760.71, 18,989.85 and 7,473.09 is: 10,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.71 : 18,989.85 = 7,473.09 : x
  2. Step 2: Convert to fraction form
    13,760.71/18,989.85 = 7,473.09/x
  3. Step 3: Cross multiply
    13,760.71x = 18,989.85 × 7,473.09
  4. Step 4: Simplify right side
    13,760.71x = 141,912,858.14
  5. Step 5: Solve for x
    x = 141,912,858.14/13,760.71
  6. Step 6: Final answer
    x = 10,312.90

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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.