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Finding the Fourth Proportional to 13,174.20, 19,745.30 and 9,014.20

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Solution

The fourth proportional to 13,174.20, 19,745.30 and 9,014.20 is: 13,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.20 : 19,745.30 = 9,014.20 : x
  2. Step 2: Convert to fraction form
    13,174.20/19,745.30 = 9,014.20/x
  3. Step 3: Cross multiply
    13,174.20x = 19,745.30 × 9,014.20
  4. Step 4: Simplify right side
    13,174.20x = 177,988,083.26
  5. Step 5: Solve for x
    x = 177,988,083.26/13,174.20
  6. Step 6: Final answer
    x = 13,510.35

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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.