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Finding the Fourth Proportional to 6,654.66, 9,983.46 and 1,975.04

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Solution

The fourth proportional to 6,654.66, 9,983.46 and 1,975.04 is: 2,963.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.66 : 9,983.46 = 1,975.04 : x
  2. Step 2: Convert to fraction form
    6,654.66/9,983.46 = 1,975.04/x
  3. Step 3: Cross multiply
    6,654.66x = 9,983.46 × 1,975.04
  4. Step 4: Simplify right side
    6,654.66x = 19,717,732.84
  5. Step 5: Solve for x
    x = 19,717,732.84/6,654.66
  6. Step 6: Final answer
    x = 2,963.00

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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.