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Finding the Fourth Proportional to 6,046.89, 9,071.79 and 2,534.97

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Solution

The fourth proportional to 6,046.89, 9,071.79 and 2,534.97 is: 3,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.89 : 9,071.79 = 2,534.97 : x
  2. Step 2: Convert to fraction form
    6,046.89/9,071.79 = 2,534.97/x
  3. Step 3: Cross multiply
    6,046.89x = 9,071.79 × 2,534.97
  4. Step 4: Simplify right side
    6,046.89x = 22,996,715.50
  5. Step 5: Solve for x
    x = 22,996,715.50/6,046.89
  6. Step 6: Final answer
    x = 3,803.06

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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.