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Finding the Fourth Proportional to 7,755.92, 11,626.93 and 2,822.07

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Solution

The fourth proportional to 7,755.92, 11,626.93 and 2,822.07 is: 4,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.92 : 11,626.93 = 2,822.07 : x
  2. Step 2: Convert to fraction form
    7,755.92/11,626.93 = 2,822.07/x
  3. Step 3: Cross multiply
    7,755.92x = 11,626.93 × 2,822.07
  4. Step 4: Simplify right side
    7,755.92x = 32,812,010.35
  5. Step 5: Solve for x
    x = 32,812,010.35/7,755.92
  6. Step 6: Final answer
    x = 4,230.58

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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.