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Finding the Fourth Proportional to 6,380.40, 9,577.80 and 3,784.80

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Solution

The fourth proportional to 6,380.40, 9,577.80 and 3,784.80 is: 5,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.40 : 9,577.80 = 3,784.80 : x
  2. Step 2: Convert to fraction form
    6,380.40/9,577.80 = 3,784.80/x
  3. Step 3: Cross multiply
    6,380.40x = 9,577.80 × 3,784.80
  4. Step 4: Simplify right side
    6,380.40x = 36,250,057.44
  5. Step 5: Solve for x
    x = 36,250,057.44/6,380.40
  6. Step 6: Final answer
    x = 5,681.47

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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.