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Finding the Fourth Proportional to 6,576.70, 9,843.45 and 5,107.90

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Solution

The fourth proportional to 6,576.70, 9,843.45 and 5,107.90 is: 7,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.70 : 9,843.45 = 5,107.90 : x
  2. Step 2: Convert to fraction form
    6,576.70/9,843.45 = 5,107.90/x
  3. Step 3: Cross multiply
    6,576.70x = 9,843.45 × 5,107.90
  4. Step 4: Simplify right side
    6,576.70x = 50,279,358.26
  5. Step 5: Solve for x
    x = 50,279,358.26/6,576.70
  6. Step 6: Final answer
    x = 7,645.07

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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.