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Finding the Fourth Proportional to 13,038.20, 17,993.94 and 7,374.20

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Solution

The fourth proportional to 13,038.20, 17,993.94 and 7,374.20 is: 10,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.20 : 17,993.94 = 7,374.20 : x
  2. Step 2: Convert to fraction form
    13,038.20/17,993.94 = 7,374.20/x
  3. Step 3: Cross multiply
    13,038.20x = 17,993.94 × 7,374.20
  4. Step 4: Simplify right side
    13,038.20x = 132,690,912.35
  5. Step 5: Solve for x
    x = 132,690,912.35/13,038.20
  6. Step 6: Final answer
    x = 10,177.09

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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.