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Finding the Fourth Proportional to 20,064.84, 30,080.84 and 7,577.78

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Solution

The fourth proportional to 20,064.84, 30,080.84 and 7,577.78 is: 11,360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,064.84 : 30,080.84 = 7,577.78 : x
  2. Step 2: Convert to fraction form
    20,064.84/30,080.84 = 7,577.78/x
  3. Step 3: Cross multiply
    20,064.84x = 30,080.84 × 7,577.78
  4. Step 4: Simplify right side
    20,064.84x = 227,945,987.74
  5. Step 5: Solve for x
    x = 227,945,987.74/20,064.84
  6. Step 6: Final answer
    x = 11,360.47

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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.