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Finding the Fourth Proportional to 6,832.26, 9,414.06 and 6,364.76

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Solution

The fourth proportional to 6,832.26, 9,414.06 and 6,364.76 is: 8,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.26 : 9,414.06 = 6,364.76 : x
  2. Step 2: Convert to fraction form
    6,832.26/9,414.06 = 6,364.76/x
  3. Step 3: Cross multiply
    6,832.26x = 9,414.06 × 6,364.76
  4. Step 4: Simplify right side
    6,832.26x = 59,918,232.53
  5. Step 5: Solve for x
    x = 59,918,232.53/6,832.26
  6. Step 6: Final answer
    x = 8,769.90

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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.