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Finding the Fourth Proportional to 7,644.84, 11,464.86 and 3,202.50

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Solution

The fourth proportional to 7,644.84, 11,464.86 and 3,202.50 is: 4,802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.84 : 11,464.86 = 3,202.50 : x
  2. Step 2: Convert to fraction form
    7,644.84/11,464.86 = 3,202.50/x
  3. Step 3: Cross multiply
    7,644.84x = 11,464.86 × 3,202.50
  4. Step 4: Simplify right side
    7,644.84x = 36,716,214.15
  5. Step 5: Solve for x
    x = 36,716,214.15/7,644.84
  6. Step 6: Final answer
    x = 4,802.74

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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.