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Finding the Fourth Proportional to 6,656.28, 9,986.50 and 1,976.31

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Solution

The fourth proportional to 6,656.28, 9,986.50 and 1,976.31 is: 2,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.28 : 9,986.50 = 1,976.31 : x
  2. Step 2: Convert to fraction form
    6,656.28/9,986.50 = 1,976.31/x
  3. Step 3: Cross multiply
    6,656.28x = 9,986.50 × 1,976.31
  4. Step 4: Simplify right side
    6,656.28x = 19,736,419.82
  5. Step 5: Solve for x
    x = 19,736,419.82/6,656.28
  6. Step 6: Final answer
    x = 2,965.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.