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Finding the Fourth Proportional to 6,097.73, 9,145.66 and 1,937.20

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Solution

The fourth proportional to 6,097.73, 9,145.66 and 1,937.20 is: 2,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.73 : 9,145.66 = 1,937.20 : x
  2. Step 2: Convert to fraction form
    6,097.73/9,145.66 = 1,937.20/x
  3. Step 3: Cross multiply
    6,097.73x = 9,145.66 × 1,937.20
  4. Step 4: Simplify right side
    6,097.73x = 17,716,944.84
  5. Step 5: Solve for x
    x = 17,716,944.84/6,097.73
  6. Step 6: Final answer
    x = 2,905.50

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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.