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Finding the Fourth Proportional to 13,201, 18,218.66 and 8,232.04

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Solution

The fourth proportional to 13,201, 18,218.66 and 8,232.04 is: 11,361.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201 : 18,218.66 = 8,232.04 : x
  2. Step 2: Convert to fraction form
    13,201/18,218.66 = 8,232.04/x
  3. Step 3: Cross multiply
    13,201x = 18,218.66 × 8,232.04
  4. Step 4: Simplify right side
    13,201x = 149,976,737.87
  5. Step 5: Solve for x
    x = 149,976,737.87/13,201
  6. Step 6: Final answer
    x = 11,361.01

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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.