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Finding the Fourth Proportional to 6,422.80, 9,634.20 and 5,256.40

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Solution

The fourth proportional to 6,422.80, 9,634.20 and 5,256.40 is: 7,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.80 : 9,634.20 = 5,256.40 : x
  2. Step 2: Convert to fraction form
    6,422.80/9,634.20 = 5,256.40/x
  3. Step 3: Cross multiply
    6,422.80x = 9,634.20 × 5,256.40
  4. Step 4: Simplify right side
    6,422.80x = 50,641,208.88
  5. Step 5: Solve for x
    x = 50,641,208.88/6,422.80
  6. Step 6: Final answer
    x = 7,884.60

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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.