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Finding the Fourth Proportional to 13,169.76, 18,174.29 and 7,201.46

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Solution

The fourth proportional to 13,169.76, 18,174.29 and 7,201.46 is: 9,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.76 : 18,174.29 = 7,201.46 : x
  2. Step 2: Convert to fraction form
    13,169.76/18,174.29 = 7,201.46/x
  3. Step 3: Cross multiply
    13,169.76x = 18,174.29 × 7,201.46
  4. Step 4: Simplify right side
    13,169.76x = 130,881,422.46
  5. Step 5: Solve for x
    x = 130,881,422.46/13,169.76
  6. Step 6: Final answer
    x = 9,938.03

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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.