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Finding the Fourth Proportional to 6,464.84, 9,691.79 and 3,829.50

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Solution

The fourth proportional to 6,464.84, 9,691.79 and 3,829.50 is: 5,741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.84 : 9,691.79 = 3,829.50 : x
  2. Step 2: Convert to fraction form
    6,464.84/9,691.79 = 3,829.50/x
  3. Step 3: Cross multiply
    6,464.84x = 9,691.79 × 3,829.50
  4. Step 4: Simplify right side
    6,464.84x = 37,114,690.66
  5. Step 5: Solve for x
    x = 37,114,690.66/6,464.84
  6. Step 6: Final answer
    x = 5,741.01

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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.