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Finding the Fourth Proportional to 7,697.65, 11,546.96 and 3,254.49

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Solution

The fourth proportional to 7,697.65, 11,546.96 and 3,254.49 is: 4,881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.65 : 11,546.96 = 3,254.49 : x
  2. Step 2: Convert to fraction form
    7,697.65/11,546.96 = 3,254.49/x
  3. Step 3: Cross multiply
    7,697.65x = 11,546.96 × 3,254.49
  4. Step 4: Simplify right side
    7,697.65x = 37,579,473.99
  5. Step 5: Solve for x
    x = 37,579,473.99/7,697.65
  6. Step 6: Final answer
    x = 4,881.94

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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.