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Finding the Fourth Proportional to 6,097.34, 9,149.64 and 5,601.62

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Solution

The fourth proportional to 6,097.34, 9,149.64 and 5,601.62 is: 8,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.34 : 9,149.64 = 5,601.62 : x
  2. Step 2: Convert to fraction form
    6,097.34/9,149.64 = 5,601.62/x
  3. Step 3: Cross multiply
    6,097.34x = 9,149.64 × 5,601.62
  4. Step 4: Simplify right side
    6,097.34x = 51,252,806.42
  5. Step 5: Solve for x
    x = 51,252,806.42/6,097.34
  6. Step 6: Final answer
    x = 8,405.76

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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.