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Finding the Fourth Proportional to 36,782.25, 55,173.51 and 9,080.25

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Solution

The fourth proportional to 36,782.25, 55,173.51 and 9,080.25 is: 13,620.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,782.25 : 55,173.51 = 9,080.25 : x
  2. Step 2: Convert to fraction form
    36,782.25/55,173.51 = 9,080.25/x
  3. Step 3: Cross multiply
    36,782.25x = 55,173.51 × 9,080.25
  4. Step 4: Simplify right side
    36,782.25x = 500,989,264.18
  5. Step 5: Solve for x
    x = 500,989,264.18/36,782.25
  6. Step 6: Final answer
    x = 13,620.41

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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.