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Finding the Fourth Proportional to 6,545.86, 9,812.94 and 2,382.94

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Solution

The fourth proportional to 6,545.86, 9,812.94 and 2,382.94 is: 3,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.86 : 9,812.94 = 2,382.94 : x
  2. Step 2: Convert to fraction form
    6,545.86/9,812.94 = 2,382.94/x
  3. Step 3: Cross multiply
    6,545.86x = 9,812.94 × 2,382.94
  4. Step 4: Simplify right side
    6,545.86x = 23,383,586.26
  5. Step 5: Solve for x
    x = 23,383,586.26/6,545.86
  6. Step 6: Final answer
    x = 3,572.27

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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.