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Finding the Fourth Proportional to 13,644.92, 20,480.32 and 7,075.80

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Solution

The fourth proportional to 13,644.92, 20,480.32 and 7,075.80 is: 10,620.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.92 : 20,480.32 = 7,075.80 : x
  2. Step 2: Convert to fraction form
    13,644.92/20,480.32 = 7,075.80/x
  3. Step 3: Cross multiply
    13,644.92x = 20,480.32 × 7,075.80
  4. Step 4: Simplify right side
    13,644.92x = 144,914,648.26
  5. Step 5: Solve for x
    x = 144,914,648.26/13,644.92
  6. Step 6: Final answer
    x = 10,620.41

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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.