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Finding the Fourth Proportional to 13,421.70, 18,522.54 and 7,453.44

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Solution

The fourth proportional to 13,421.70, 18,522.54 and 7,453.44 is: 10,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.70 : 18,522.54 = 7,453.44 : x
  2. Step 2: Convert to fraction form
    13,421.70/18,522.54 = 7,453.44/x
  3. Step 3: Cross multiply
    13,421.70x = 18,522.54 × 7,453.44
  4. Step 4: Simplify right side
    13,421.70x = 138,056,640.54
  5. Step 5: Solve for x
    x = 138,056,640.54/13,421.70
  6. Step 6: Final answer
    x = 10,286.08

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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.