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Finding the Fourth Proportional to 13,469.19, 20,213.51 and 7,637.19

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Solution

The fourth proportional to 13,469.19, 20,213.51 and 7,637.19 is: 11,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.19 : 20,213.51 = 7,637.19 : x
  2. Step 2: Convert to fraction form
    13,469.19/20,213.51 = 7,637.19/x
  3. Step 3: Cross multiply
    13,469.19x = 20,213.51 × 7,637.19
  4. Step 4: Simplify right side
    13,469.19x = 154,374,378.25
  5. Step 5: Solve for x
    x = 154,374,378.25/13,469.19
  6. Step 6: Final answer
    x = 11,461.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.