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Finding the Fourth Proportional to 6,962.57, 9,608.31 and 3,818.69

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Solution

The fourth proportional to 6,962.57, 9,608.31 and 3,818.69 is: 5,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.57 : 9,608.31 = 3,818.69 : x
  2. Step 2: Convert to fraction form
    6,962.57/9,608.31 = 3,818.69/x
  3. Step 3: Cross multiply
    6,962.57x = 9,608.31 × 3,818.69
  4. Step 4: Simplify right side
    6,962.57x = 36,691,109.27
  5. Step 5: Solve for x
    x = 36,691,109.27/6,962.57
  6. Step 6: Final answer
    x = 5,269.77

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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.