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Finding the Fourth Proportional to 13,642.60, 18,825.47 and 7,674.15

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Solution

The fourth proportional to 13,642.60, 18,825.47 and 7,674.15 is: 10,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.60 : 18,825.47 = 7,674.15 : x
  2. Step 2: Convert to fraction form
    13,642.60/18,825.47 = 7,674.15/x
  3. Step 3: Cross multiply
    13,642.60x = 18,825.47 × 7,674.15
  4. Step 4: Simplify right side
    13,642.60x = 144,469,480.60
  5. Step 5: Solve for x
    x = 144,469,480.60/13,642.60
  6. Step 6: Final answer
    x = 10,589.59

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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.