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Finding the Fourth Proportional to 6,215.91, 9,323.85 and 1,773.66

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Solution

The fourth proportional to 6,215.91, 9,323.85 and 1,773.66 is: 2,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.91 : 9,323.85 = 1,773.66 : x
  2. Step 2: Convert to fraction form
    6,215.91/9,323.85 = 1,773.66/x
  3. Step 3: Cross multiply
    6,215.91x = 9,323.85 × 1,773.66
  4. Step 4: Simplify right side
    6,215.91x = 16,537,339.79
  5. Step 5: Solve for x
    x = 16,537,339.79/6,215.91
  6. Step 6: Final answer
    x = 2,660.49

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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.