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Finding the Fourth Proportional to 5,993.24, 8,989.80 and 4,272.80

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Solution

The fourth proportional to 5,993.24, 8,989.80 and 4,272.80 is: 6,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.24 : 8,989.80 = 4,272.80 : x
  2. Step 2: Convert to fraction form
    5,993.24/8,989.80 = 4,272.80/x
  3. Step 3: Cross multiply
    5,993.24x = 8,989.80 × 4,272.80
  4. Step 4: Simplify right side
    5,993.24x = 38,411,617.44
  5. Step 5: Solve for x
    x = 38,411,617.44/5,993.24
  6. Step 6: Final answer
    x = 6,409.16

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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.