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Finding the Fourth Proportional to 6,648.57, 9,979.04 and 3,364.00

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Solution

The fourth proportional to 6,648.57, 9,979.04 and 3,364.00 is: 5,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.57 : 9,979.04 = 3,364.00 : x
  2. Step 2: Convert to fraction form
    6,648.57/9,979.04 = 3,364.00/x
  3. Step 3: Cross multiply
    6,648.57x = 9,979.04 × 3,364.00
  4. Step 4: Simplify right side
    6,648.57x = 33,569,474.02
  5. Step 5: Solve for x
    x = 33,569,474.02/6,648.57
  6. Step 6: Final answer
    x = 5,049.13

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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.