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Finding the Fourth Proportional to 13,229.85, 18,257.85 and 7,261.47

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Solution

The fourth proportional to 13,229.85, 18,257.85 and 7,261.47 is: 10,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.85 : 18,257.85 = 7,261.47 : x
  2. Step 2: Convert to fraction form
    13,229.85/18,257.85 = 7,261.47/x
  3. Step 3: Cross multiply
    13,229.85x = 18,257.85 × 7,261.47
  4. Step 4: Simplify right side
    13,229.85x = 132,578,830.04
  5. Step 5: Solve for x
    x = 132,578,830.04/13,229.85
  6. Step 6: Final answer
    x = 10,021.19

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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.