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Finding the Fourth Proportional to 6,591.52, 9,097.14 and 3,797.02

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Solution

The fourth proportional to 6,591.52, 9,097.14 and 3,797.02 is: 5,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.52 : 9,097.14 = 3,797.02 : x
  2. Step 2: Convert to fraction form
    6,591.52/9,097.14 = 3,797.02/x
  3. Step 3: Cross multiply
    6,591.52x = 9,097.14 × 3,797.02
  4. Step 4: Simplify right side
    6,591.52x = 34,542,022.52
  5. Step 5: Solve for x
    x = 34,542,022.52/6,591.52
  6. Step 6: Final answer
    x = 5,240.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.