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Finding the Fourth Proportional to 6,585.64, 9,879.00 and 2,203.13

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Solution

The fourth proportional to 6,585.64, 9,879.00 and 2,203.13 is: 3,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.64 : 9,879.00 = 2,203.13 : x
  2. Step 2: Convert to fraction form
    6,585.64/9,879.00 = 2,203.13/x
  3. Step 3: Cross multiply
    6,585.64x = 9,879.00 × 2,203.13
  4. Step 4: Simplify right side
    6,585.64x = 21,764,737.71
  5. Step 5: Solve for x
    x = 21,764,737.71/6,585.64
  6. Step 6: Final answer
    x = 3,304.88

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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.