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Finding the Fourth Proportional to 8,353.26, 11,516.55 and 6,938.22

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Solution

The fourth proportional to 8,353.26, 11,516.55 and 6,938.22 is: 9,565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.26 : 11,516.55 = 6,938.22 : x
  2. Step 2: Convert to fraction form
    8,353.26/11,516.55 = 6,938.22/x
  3. Step 3: Cross multiply
    8,353.26x = 11,516.55 × 6,938.22
  4. Step 4: Simplify right side
    8,353.26x = 79,904,357.54
  5. Step 5: Solve for x
    x = 79,904,357.54/8,353.26
  6. Step 6: Final answer
    x = 9,565.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.