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Finding the Fourth Proportional to 6,097.34, 9,146.10 and 2,634.50

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Solution

The fourth proportional to 6,097.34, 9,146.10 and 2,634.50 is: 3,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.34 : 9,146.10 = 2,634.50 : x
  2. Step 2: Convert to fraction form
    6,097.34/9,146.10 = 2,634.50/x
  3. Step 3: Cross multiply
    6,097.34x = 9,146.10 × 2,634.50
  4. Step 4: Simplify right side
    6,097.34x = 24,095,400.45
  5. Step 5: Solve for x
    x = 24,095,400.45/6,097.34
  6. Step 6: Final answer
    x = 3,951.79

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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.