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Finding the Fourth Proportional to 6,646.14, 9,966.84 and 1,964.90

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Solution

The fourth proportional to 6,646.14, 9,966.84 and 1,964.90 is: 2,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.14 : 9,966.84 = 1,964.90 : x
  2. Step 2: Convert to fraction form
    6,646.14/9,966.84 = 1,964.90/x
  3. Step 3: Cross multiply
    6,646.14x = 9,966.84 × 1,964.90
  4. Step 4: Simplify right side
    6,646.14x = 19,583,843.92
  5. Step 5: Solve for x
    x = 19,583,843.92/6,646.14
  6. Step 6: Final answer
    x = 2,946.65

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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.