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Finding the Fourth Proportional to 6,565.86, 9,843.12 and 2,673

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Solution

The fourth proportional to 6,565.86, 9,843.12 and 2,673 is: 4,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.86 : 9,843.12 = 2,673 : x
  2. Step 2: Convert to fraction form
    6,565.86/9,843.12 = 2,673/x
  3. Step 3: Cross multiply
    6,565.86x = 9,843.12 × 2,673
  4. Step 4: Simplify right side
    6,565.86x = 26,310,659.76
  5. Step 5: Solve for x
    x = 26,310,659.76/6,565.86
  6. Step 6: Final answer
    x = 4,007.19

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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.