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Finding the Fourth Proportional to 5,097.39, 7,644.87 and 4,601.67

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Solution

The fourth proportional to 5,097.39, 7,644.87 and 4,601.67 is: 6,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.39 : 7,644.87 = 4,601.67 : x
  2. Step 2: Convert to fraction form
    5,097.39/7,644.87 = 4,601.67/x
  3. Step 3: Cross multiply
    5,097.39x = 7,644.87 × 4,601.67
  4. Step 4: Simplify right side
    5,097.39x = 35,179,168.93
  5. Step 5: Solve for x
    x = 35,179,168.93/5,097.39
  6. Step 6: Final answer
    x = 6,901.41

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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.