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Finding the Fourth Proportional to 6,535.41, 9,789.11 and 6,080.23

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Solution

The fourth proportional to 6,535.41, 9,789.11 and 6,080.23 is: 9,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.41 : 9,789.11 = 6,080.23 : x
  2. Step 2: Convert to fraction form
    6,535.41/9,789.11 = 6,080.23/x
  3. Step 3: Cross multiply
    6,535.41x = 9,789.11 × 6,080.23
  4. Step 4: Simplify right side
    6,535.41x = 59,520,040.30
  5. Step 5: Solve for x
    x = 59,520,040.30/6,535.41
  6. Step 6: Final answer
    x = 9,107.32

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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.