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Finding the Fourth Proportional to 13,169.95, 18,174.54 and 7,201.61

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Solution

The fourth proportional to 13,169.95, 18,174.54 and 7,201.61 is: 9,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.95 : 18,174.54 = 7,201.61 : x
  2. Step 2: Convert to fraction form
    13,169.95/18,174.54 = 7,201.61/x
  3. Step 3: Cross multiply
    13,169.95x = 18,174.54 × 7,201.61
  4. Step 4: Simplify right side
    13,169.95x = 130,885,922.92
  5. Step 5: Solve for x
    x = 130,885,922.92/13,169.95
  6. Step 6: Final answer
    x = 9,938.22

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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.