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Finding the Fourth Proportional to 6,298, 8,691.64 and 3,646.26

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Solution

The fourth proportional to 6,298, 8,691.64 and 3,646.26 is: 5,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298 : 8,691.64 = 3,646.26 : x
  2. Step 2: Convert to fraction form
    6,298/8,691.64 = 3,646.26/x
  3. Step 3: Cross multiply
    6,298x = 8,691.64 × 3,646.26
  4. Step 4: Simplify right side
    6,298x = 31,691,979.27
  5. Step 5: Solve for x
    x = 31,691,979.27/6,298
  6. Step 6: Final answer
    x = 5,032.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.