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Finding the Fourth Proportional to 6,097.44, 9,146.64 and 1,937.82

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Solution

The fourth proportional to 6,097.44, 9,146.64 and 1,937.82 is: 2,906.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.44 : 9,146.64 = 1,937.82 : x
  2. Step 2: Convert to fraction form
    6,097.44/9,146.64 = 1,937.82/x
  3. Step 3: Cross multiply
    6,097.44x = 9,146.64 × 1,937.82
  4. Step 4: Simplify right side
    6,097.44x = 17,724,541.92
  5. Step 5: Solve for x
    x = 17,724,541.92/6,097.44
  6. Step 6: Final answer
    x = 2,906.88

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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.