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Finding the Fourth Proportional to 7,783.22, 11,614.59 and 6,952.57

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Solution

The fourth proportional to 7,783.22, 11,614.59 and 6,952.57 is: 10,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.22 : 11,614.59 = 6,952.57 : x
  2. Step 2: Convert to fraction form
    7,783.22/11,614.59 = 6,952.57/x
  3. Step 3: Cross multiply
    7,783.22x = 11,614.59 × 6,952.57
  4. Step 4: Simplify right side
    7,783.22x = 80,751,220.96
  5. Step 5: Solve for x
    x = 80,751,220.96/7,783.22
  6. Step 6: Final answer
    x = 10,375.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.