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Finding the Fourth Proportional to 13,694.78, 18,898.79 and 7,407.15

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Solution

The fourth proportional to 13,694.78, 18,898.79 and 7,407.15 is: 10,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.78 : 18,898.79 = 7,407.15 : x
  2. Step 2: Convert to fraction form
    13,694.78/18,898.79 = 7,407.15/x
  3. Step 3: Cross multiply
    13,694.78x = 18,898.79 × 7,407.15
  4. Step 4: Simplify right side
    13,694.78x = 139,986,163.09
  5. Step 5: Solve for x
    x = 139,986,163.09/13,694.78
  6. Step 6: Final answer
    x = 10,221.87

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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.