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Finding the Fourth Proportional to 6,545.94, 9,823.91 and 3,261.80

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Solution

The fourth proportional to 6,545.94, 9,823.91 and 3,261.80 is: 4,895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.94 : 9,823.91 = 3,261.80 : x
  2. Step 2: Convert to fraction form
    6,545.94/9,823.91 = 3,261.80/x
  3. Step 3: Cross multiply
    6,545.94x = 9,823.91 × 3,261.80
  4. Step 4: Simplify right side
    6,545.94x = 32,043,629.64
  5. Step 5: Solve for x
    x = 32,043,629.64/6,545.94
  6. Step 6: Final answer
    x = 4,895.19

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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.