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Finding the Fourth Proportional to 7,822.96, 11,706.48 and 6,795.07

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Solution

The fourth proportional to 7,822.96, 11,706.48 and 6,795.07 is: 10,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.96 : 11,706.48 = 6,795.07 : x
  2. Step 2: Convert to fraction form
    7,822.96/11,706.48 = 6,795.07/x
  3. Step 3: Cross multiply
    7,822.96x = 11,706.48 × 6,795.07
  4. Step 4: Simplify right side
    7,822.96x = 79,546,351.05
  5. Step 5: Solve for x
    x = 79,546,351.05/7,822.96
  6. Step 6: Final answer
    x = 10,168.32

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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.