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Finding the Fourth Proportional to 13,418.16, 18,517.89 and 7,449.92

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Solution

The fourth proportional to 13,418.16, 18,517.89 and 7,449.92 is: 10,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418.16 : 18,517.89 = 7,449.92 : x
  2. Step 2: Convert to fraction form
    13,418.16/18,517.89 = 7,449.92/x
  3. Step 3: Cross multiply
    13,418.16x = 18,517.89 × 7,449.92
  4. Step 4: Simplify right side
    13,418.16x = 137,956,799.07
  5. Step 5: Solve for x
    x = 137,956,799.07/13,418.16
  6. Step 6: Final answer
    x = 10,281.35

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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.