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Finding the Fourth Proportional to 13,728.80, 20,594.40 and 5,721.80

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Solution

The fourth proportional to 13,728.80, 20,594.40 and 5,721.80 is: 8,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.80 : 20,594.40 = 5,721.80 : x
  2. Step 2: Convert to fraction form
    13,728.80/20,594.40 = 5,721.80/x
  3. Step 3: Cross multiply
    13,728.80x = 20,594.40 × 5,721.80
  4. Step 4: Simplify right side
    13,728.80x = 117,837,037.92
  5. Step 5: Solve for x
    x = 117,837,037.92/13,728.80
  6. Step 6: Final answer
    x = 8,583.20

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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.