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Finding the Fourth Proportional to 6,491.68, 9,745.89 and 5,573.14

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Solution

The fourth proportional to 6,491.68, 9,745.89 and 5,573.14 is: 8,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.68 : 9,745.89 = 5,573.14 : x
  2. Step 2: Convert to fraction form
    6,491.68/9,745.89 = 5,573.14/x
  3. Step 3: Cross multiply
    6,491.68x = 9,745.89 × 5,573.14
  4. Step 4: Simplify right side
    6,491.68x = 54,315,209.39
  5. Step 5: Solve for x
    x = 54,315,209.39/6,491.68
  6. Step 6: Final answer
    x = 8,366.90

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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.