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Finding the Fourth Proportional to 6,545.94, 9,821.88 and 5,992.26

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Solution

The fourth proportional to 6,545.94, 9,821.88 and 5,992.26 is: 8,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.94 : 9,821.88 = 5,992.26 : x
  2. Step 2: Convert to fraction form
    6,545.94/9,821.88 = 5,992.26/x
  3. Step 3: Cross multiply
    6,545.94x = 9,821.88 × 5,992.26
  4. Step 4: Simplify right side
    6,545.94x = 58,855,258.65
  5. Step 5: Solve for x
    x = 58,855,258.65/6,545.94
  6. Step 6: Final answer
    x = 8,991.11

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1.5x scale

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.